Answer:
x2-16x+100=0
Two solutions were found :
x =(16-√-144)/2=8-6i= 8.0000-6.0000i
x =(16+√-144)/2=8+6i= 8.0000+6.0000i
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+100
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +100
Step-1 : Multiply the coefficient of the first term by the constant 1 • 100 = 100
Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is -16 .
-100 + -1 = -101
-50 + -2 = -52
-25 + -4 = -29
-20 + -5 = -25
-10 + -10 = -20
-5 + -20 = -25
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1 :
x2 - 16x + 100 = 0
Step 2 :
Parabola, Finding the Vertex :
2.1 Find the Vertex of y = x2-16x+100
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.0000
Plugging into the parabola formula 8.0000 for x we can calculate the y -coordinate :
y = 1.0 * 8.00 * 8.00 - 16.0 * 8.00 + 100.0
or y = 36.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-16x+100
Axis of Symmetry (dashed) {x}={ 8.00}
Vertex at {x,y} = { 8.00,36.00}
Function has no real roots
Solve Quadratic Equation by Completing The Square
2.2 Solving x2-16x+100 = 0 by Completing The Square .
Subtract 100 from both side of the equation :
x2-16x = -100
Now the clever bit: Take the coefficient of x , which is 16 , divide by two, giving 8 , and finally square it giving 64
Add 64 to both sides of the equation :
On the right hand side we have :
-100 + 64 or, (-100/1)+(64/1)
The common denominator of the two fractions is 1 Adding (-100/1)+(64/1) gives -36/1
So adding to both sides we finally get :
x2-16x+64 = -36
Adding 64 has completed the left hand side into a perfect square :
x2-16x+64 =
(x-8) • (x-8) =
(x-8)2
Things which are equal to the same thing are also equal to one another. Since
x2-16x+64 = -36 and
x2-16x+64 = (x-8)2
then, according to the law of transitivity,
(x-8)2 = -36
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-8)2 is
(x-8)2/2 =
(x-8)1 =
x-8
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x-8 = √ -36
Add 8 to both sides to obtain:
x = 8 + √ -36
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 - 16x + 100 = 0
has two solutions:
x = 8 + √ 36 • i
or
x = 8 - √ 36 • i
Solve Quadratic Equation using the Quadratic Formula
2.3 Solving x2-16x+100 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -16
C = 100
Accordingly, B2 - 4AC =
256 - 400 =
-144
Applying the quadratic formula :
16 ± √ -144
x = ——————
2
In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written (a+b*i)
Both i and -i are the square roots of minus 1
Accordingly,√ -144 =
√ 144 • (-1) =
√ 144 • √ -1 =
± √ 144 • i
Can √ 144 be simplified ?
Yes! The prime factorization of 144 is
2•2•2•2•3•3
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 144 = √ 2•2•2•2•3•3 =2•2•3•√ 1 =
± 12 • √ 1 =
± 12
So now we are looking at:
x = ( 16 ± 12i ) / 2
Two imaginary solutions :
x =(16+√-144)/2=8+6i= 8.0000+6.0000i
or:
x =(16-√-144)/2=8-6i= 8.0000-6.0000i
Two solutions were found :
x =(16-√-144)/2=8-6i= 8.0000-6.0000i
x =(16+√-144)/2=8+6i= 8.0000+6.0000i
Step-by-step explanation:
Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to represent the situation. Then solve for each unknown angle measure.
Answer:
The angles are 26 and 64
Step-by-step explanation:
When two angles are complementary, what this means is that the add up to 90 degrees
Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12
Since they add up to be 90, we have
x + 2x + 12 = 90
3x + 12 = 90
3x = 90-12
3x = 78
x = 78/3
x = 26
The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64
Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle than the value of that two complementary angles are [tex]26^\circ[/tex] and [tex]64^\circ[/tex].
Given :
Two adjacent angles form a complementary relationship.One angle is twelve more than twice the other angle.The sum of two complementary angles is [tex]90^\circ[/tex]. Let one of the complementary angles be 'a' then the other complementary angle is (12 + 2a) according to the given data.
The mathematical expression of the sum of complimentary angles is:
a + (2a + 12) = [tex]90^\circ[/tex]
Now, open the parenthesis and further simplify the above ex[pression.
3a + 12 = 90
Subtract both sides by 12 in the above expression.
3a + 12 - 12 = 90 - 12
3a = 78
Now, divide both sides by 3 in the above expression.
a = [tex]26^\circ[/tex]
Now, the other complementary angle is (2(26) + 12 = [tex]64^\circ[/tex]).
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Challenger Elementary School has 800800 800 800 students. Every Wednesday, 12%12\% 12% 12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answer: 96 students
Step-by-step explanation:
Number of students in the school= 800
Percentage of students that stays after school for Chess = 12%
To get the number of students that attend Chess Club on Wednesdays, we multiply the percentage given by 800. This can be written as:
= 12% of 800
= 12/100 × 800
= 12 × 8
= 96 students
96 students attend Chess Club on Wednesdays.
Answer:
Step-by-step explanation:
We know that the entire school
(
100
%
)
(100%)left parenthesis, 100, percent, right parenthesis has
800
800800 students. We need to find out how many students are in Chess Club, which is
12
%
12%12, percent of the school.
Hint #2
We can first divide
800
800800 by
100
100100 to see that
8
88 students make up
1
%
1%1, percent of the school, then multiply by
12
1212 to see how many students make up
12
%
12%12, percent.
12
%
of the students
=
12
⋅
1
%
of the students
=
12
⋅
8
students
=
96
students
12%of the students
=12⋅1%of the students
=12⋅8students
=96students
Hint #3
96
9696 students attend Chess Club on Wednesdays.
Find the measure of an angle between 0 and 360 that is coterminal with an angle measuring -800
Answer
280
Step-by-step explanation:
Answer:
280 then 80
Step-by-step explanation:
right on edg2020
A basketball player made 63 out 100 attempted free throws.What percent of free throws did the player mark?
Answer:
63%
Step-by-step explanation:
Answer:
63% of the free throws.
Step-by-step explanation:
It is out of 100% so any percent from 100 is just the number in this case it would be 63 Free throws.
Evaluate
17.3
% of
45.94
km
Give your answer rounded to 2 DP.
Answer: 17.3% of 45.94 km is 7.95 km
Final answer:
To find 17.3% of 45.94 km, convert the percentage to a decimal and multiply by the value in kilometers. The calculation gives you 7.94742 km, which rounded to two decimal places is 7.95 km.
Explanation:
To evaluate 17.3% of 45.94 km, you need to convert the percentage to a decimal by dividing by 100 and then multiply by the value in kilometers.
Convert the percentage to a decimal: 17.3% ÷ 100 = 0.173.
Multiply the decimal by the value in kilometers: 0.173 × 45.94 km.
Perform the multiplication to find the answer.
0.173 × 45.94 km = 7.94742 km.
Now, round the answer to two decimal places:
7.94742 km rounded to two decimal places is 7.95 km.
the dimension of a rectangle piece of paper are 8.5 and 11 inches.veronicafolded the piece of paper along its diagonal.which measurement is closest to the lenght of the diagonal is inches?
Answer:
13.90 inches
Step-by-step explanation:
The sides of rectangle are 8.5 and 11 inches.
According to question diagonal needs to calculated.
The diagonal , and two sides of rectangle will forma a right angled triangle.
Right angle as it constitute a right angle of rectangle as well.
To understand more
construct a rectangle ABCD
then one of its diagonal will be AC if we take triangle ABC.
angle ABC will be right angled at B.
for triangle ABC . diagonal AC will be hypotenuse
So diagonal can be computed using Pythagoras theorem
which states that if a and b are two sides of right angled triangle containing the right angle then hypotenuse is given by [tex]\sqrt{a^2+b^2}[/tex].
____________________________________________
In the problem
two sides are of length 8.5 and 11 inches
So, diagonal is hypotenuse which can be calculated by [tex]\sqrt{8.5^2+11^2}\\=>\sqrt{72.25+121}\\=>\sqrt{193.25}\\=>13.90[/tex]
thus length of diagonal is 13.90 inches.
The boxplot below shows salaries for Construction workers and Teachers.
20 25 30 35 40 45 50
Salary (thousands of $)
Teacher
Construction
If a person is making the maximum salary for a construction worker, they are making more than what percentage of Teachers?
They are making more than
% of Teachers.
The construction worker are making more than More than 75% of teachers.
What is box- plot?A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
Let us consider the construction workers is 45000.
So 45,000 represent the third quarter which is 75% of the data.
So, the construction worker are making more than More than 75% of teachers.
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plz help will mark brainlest
Answer:
81pi meter squared
Answer:
81π m²
Step-by-step explanation:
Formula: C=2πr
The circumference of the column is 18π meters so therefore: 18π=2πr
Divide the both sides by 2π:
r= 9 meters
Now find the area:
Formula for Area: A=πr²
Therefore: A= π · 9² = 81π meters²
Which expression is equivalent to y•y•y•z•z•z•z?
Given kite MNOP below, which of the following conjectures, concerning the diagonals of a kite, is most likely true?
(graph attached)
A. The diagonals of a kite bisect the angles.
B. The diagonals of a kite are perpendicular.
C. The diagonals of a kite are perpendicular bisectors of each other.
D. The diagonals of a kite form four congruent triangles.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
b
Which number is irrational?
Answer:
D. 4.12
Step-by-step explanation:
A irrational number can be a decimal, but can never be a fraction.
A property had been a rectangular 100-by-200-ft parcel. The new zoning map
changed the boundaries so that the property is now shaped like a parallelogram.
The landowner complained that this represents a loss of area. Do you agree? If
so, what is the loss in square feet?
Answer:
Yes there is a loss of area
The loss is 5,858 ft²
Step-by-step explanation:
Kindly find attached rough sketch of the problem for your reference.
This problem bothers on the mensuration of flat shapes, rectangle and parallelogram
Firstly let us calculate initial area of the map, the rectangle
Area = length x width
Area = 200*100
Area = 20,000ft²
Now let us calculate the area of the new zoning map, parallelogram
Area = Base x height
But from the sketch we can solve for the height Applying
SOH CAH TOA
Using SOH
Sinθ= opposite/hypotenuse
Sin θ= h/100
h= sinθ*100
h= sin(45)*100
h= 0.7071*100
h= 70.71ft
We can now solve for the area of the new zoning map
A= 200*70.71
A= 14142ft²
Loss in square feet is
Area of initial map - area of New map
= 20,000-14,142
= 5,858 ft²
What is -5d+(-6)u-3?
Answer:-5d-6u-3
Step-by-step explanation:
-5d+(-6)u-3
-5d-6u-3
Ryan has $0.75 worth of pennies and nickels. He has 3 more nickels than pennies. Determine the number of pennies and the number of nickels that Ryan has.
9514 1404 393
Answer:
10 pennies13 nickelsStep-by-step explanation:
Let n represent the number of nickels Ryan has. Then the number of pennies is n-3, and his coins have a value (in cents) of ...
5n +1(n -3) = 75
6n = 78 . . . . . . . . . collect terms, add 3
n = 13 . . . . . . . . . . number of nickels Ryan has
n-3 = 10 . . . . . . . . number of pennies Ryan has
Ryan has 10 pennies and 13 nickels.
Ryan has 10 pennies and 13 nickels.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Ryan has $0.75 worth of pennies and nickels.
Let x be the number of nickels Ryan has.
So, the number of pennies be x-3,
Then,
5x +1(x -3) = 75
6x = 78
x = 13
and, x-3 = 10
Hence, Ryan has 10 pennies and 13 nickels.
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Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has
$3,875.79 in the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?
Compound interest formula: V(t)= P 1-
t = years since initial deposit
n = number of times compounded per year
r= annual interest rate (as a decimal)
P = initial (principal) investment
VO) = value of investment after t years
2 years
9 years
18 years
36 years
Mark this and retum
Save and Exit
Nexs
Answer:
18 years
Step-by-step explanation:
Formula: V(t) = P* (1 + r/2)^(2t)
r = 4% = 0.04
P =$1,900
V(t) = $1,900 *(1 + 0.04/2)^ (2t)
V = 1900 *(1.02)^(2t)
$3,875.79 = 1900 * 1.02^2t
3875.79/1900 = 1.02^ (2t)
2.0398894736842 = 1.02 ^(2t)
ln 2.0398894736842 = ln (1.02^(2t) )
ln 2.0398894736842 = 2*t*ln (1.02)
ln 2.0398894736842 /(2* ln (1.02)) = t
0.71289562682179 / (2 * 0.0198 ) = t
18.00002 years = t
Twelve of the 20 students in Ms. Sarno’s homeroom are female. Each month, Ms. Sarno randomly selects a student to act as “teacher’s helper.”
Which simulation best models the selection of female “teacher’s helpers” for January, February, March, and April?
A spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times.
A coin, with heads up representing female students, is flipped 4 times.
A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.
A number cube, with odd numbers representing female students, is rolled 12 times.
Answer:
the answerr is C
Step-by-step explanation:
If 1,500 students attend the high school, how many students get to school by bus or car?
375 students
750 students
975 students
525 students
Step-by-step explanation:
Simple
The percent of bus and car is 35
So 35% x 1500 = 525
Total bus and car students are 525
Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, she’ll be able to add $100 to her savings account. Esme also plans to purchase a car priced at $20,000 using a no-interest loan. She will make a $300 payment on the loan every month. In how many months will Esme have enough money saved to pay off her loan completely?
A. 44.45 months
B. 45.75 months
C. 47.75 months
D. 49.75 months
E. 50.45 months
Answer:
D. 49.75 months
Step-by-step explanation:
Esme earns a net salary of $2400 per month.
In her saving account she already have a balance of $100.
She saves $100 every month after her monthly expenses.
She plans to buy a car of $20000 using a no interest loan .
She usually make a $300 payment on the loan every month.
The number of months she will save enough money to pay off her loan completely can be calculated below.
let
x = number of months
The amount she saved altogether every month is $300 + $100 = $400.
Recall she already has $100 in her account
Amount of loan to be repaid = 100 + 400x
20000 = 100 + 400x
20000 - 100 = 400x
19900 = 400x
divide both sides by 400
x = 19900/400
x = 49.75 months
Answer:
D.) 49.75 Months
Step-by-step explanation:
An internet company randomly selected 50 of its customers and asked them how many hours per week they use the internet. Of those surveyed, 28 use the internet more than 15 hours per week. Based on the data, if the company has 800 subscribers, how many use more than 15 hours per week?
Answer:
Number of person use more than 15 hours per week from 800 subscribers = 448
Step-by-step explanation:
Given:
Total number of sample = 50
Result = 28 Person use more than 15 hours per week
Find:
How many people use more than 15 hours per week
Computation:
⇒ Probability of Person use internet more than 15 hours per week = 28 / 50
⇒Probability of Person use internet more than 15 hours per week = 0.56
⇒Number of person use more than 15 hours per week from 800 subscribers = 800 × Probability of Person use internet more than 15 hours per week
⇒Number of person use more than 15 hours per week from 800 subscribers = 800 × 0.56
⇒ Number of person use more than 15 hours per week from 800 subscribers = 448
Answer:
448
Step-by-step explanation:
Since 28/50 customers use the internet more than 15 hours per week. 28/50 is our fraction. So we do 28/50x800 which gives you 448.
I need to know this plz and thank u
- 3/7 divided by 3/8 equals ? write answer is simplest form.
Answer:
-1 and 1/7
Step-by-step explanation:
i dont know how to explain it sorry
Answer:
- 8/7
Step-by-step explanation:
- 3/7 divided by 3/8
- 3/7 ÷ 3/8
- 3/7 × 8/3
- 24/21 = - 8/7
Thus, - 3/7 divided by 3/8 equals - 8/7
-TheUnknownScientist
The set of life spans of an appliance is normally distributed with a mean 48 and a standard deviation 8 months. What is the z-score of an appliance that stopped working at 64 months?
Answer:
2
Step-by-step explanation:
The value of z-score of an appliance that stopped working at 64 months is,
⇒ 2
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The set of life spans of an appliance is normally distributed with a mean 48 and a standard deviation 8 months.
We know that;
Z- score = (X - μ) / σ
Here, We have;
μ = 48
σ = 8 months
X = 64 months
Hence, We get;
z - score = (64 - 48) / 8
z - score = 16 / 2
z - score = 2
Thus, The value of z-score of an appliance that stopped working at 64 months is,
⇒ 2
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A store sells 5 T-shirts for $46.45. What is the unit cost per T-shirt?
Answer:$9.29
Step-by-step explanation:For unit rate finding the value of one is the objective. Easiest way to find it is by dividing the value (the amount of money being payed) by the amount beig sold ( the 5 shirts) so basically $46.45 ÷ 5
Answer:
9.25
Step-by-step explanation:
Find the volume. *
4) height = 9 ft; radius = 3 ft
Volume =
Which ordered pair is a to the equation y=6x -2
====================================================
Explanation:
The idea is to plug in each pair of coordinates and see if you get a true equation. Choice A does not work because
y = 6x-2
20 = 6(6)-2 ... plugged in x = 6 and y = 20
20 = 36-2
20 = 34
we have a false equation. So this shows choice A does not work.
--------
However, choice D does work since...
y = 6x-2
28 = 6(5)-2 .... plug in (x,y) = (5,28)
28 = 30-2
28 = 28
Put another way, if we plugged x = 5 into the equation, then we'd get y = 28. Therefore, showing (5,28) is a point on the line y = 6x-2.
To find the ordered pair that satisfies the equation, substitute values for x and solve for y. The ordered pair for the equation y = 6x - 2 is (0, -2).
Explanation:To find the ordered pair that satisfies the equation y = 6x - 2, we need to substitute different values for x and solve for y. Let's start by substituting x = 0. Plugging x = 0 into the equation, we get y = 6(0) - 2 = -2. So the ordered pair is (0, -2). Another way to find more ordered pairs is by using the slope-intercept form of the equation, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 6 and the y-intercept is -2.
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click the correct symbol 2,000 lb 1 T <, > , +
Answer:
>
Step-by-step explanation:
The correct symbol for the unit conversion is given by 2000 lb = 1 T
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the symbol be represented as A
Now , the weight of the object is given by
Let the first weight be p = 2000 lb
Let the second weight be q = 1 Ton
And , from the unit conversion
2000 lb = 1 Ton
So , the value of q = p
Hence , the symbol is equal to and 2000 lb = 1 Ton
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How many solution does the equation 5x+8=2x-1 wil have.
Answer:
1 solution. Solution is -3.
Step-by-step explanation:
First subtract 8 from both sides. This gives you 5x=2x-9.
Then subtract 2x from both sides. This gives you 3x= -9
Next divide both sides by 3. This would give you that x = -3.
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Final answer:
The equation 5x + 8 = 2x - 1 is solved by isolating x to find that it has one solution, x = -3.
Explanation:
The equation 5x + 8 = 2x - 1 can be solved for x to determine how many solutions it has. To do this, we first rearrange the equation to bring all terms involving x on one side and the constants on the other. Subtract 2x from both sides to obtain 3x + 8 = -1. Next, subtract 8 from both sides to get 3x = -9. Finally, divide both sides by 3 to isolate x, which yields x = -3. Therefore, the equation has one solution: x = -3.
What is the measure of angle 4?
Answer:
45 degrees
Step-by-step explanation:
∠1 and ∠4 are on a straight line. Therefore, they are supplementary and add to 180 degrees.
∠1+∠4=180
We know that the m∠1 is 135 degrees. We can substitute 135 in for ∠1.
135+∠4=180
Now we have to solve for ∠4. To do this, we need to get ∠4 by itself. 135 is being added on to ∠4. To undo this, subtract 135 from both sides, because subtraction is the opposite of addition.
135-135+∠4=180-135
∠4=180-135
∠4=45
The measure of ∠4 is 45 degrees.
the product of twice a number and four. *
Answer: 20
Step-by-step explanation:
8 times 2 = 16
16 plus 4 = 20
Answer:
2x * 4
Step-by-step explanation:
Which equation has x = 4 as the solution? log Subscript 4 Baseline (3 x + 4) = 2 log Subscript 3 Baseline (2 x minus 5) = 2 log Subscript x Baseline 64 = 4 log Subscript x Baseline 16 = 4
Answer:
A. log Subscript 4 Baseline (3 x + 4) = 2
Step-by-step explanation:
I graphed it.
The equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4
What is an equation?An equation is an algebraic expression that is represented by the equality "=" sign
For an equation to have a solution of x = 4, the equation must be true at x = 4
From the options, we have:
[tex]\log_4(3x + 4) = 2[/tex]
Substitute 4 for x
[tex]\log_4(3*4 + 4) = 2[/tex]
[tex]\log_4(16) = 2[/tex]
Express 16 as 4^2
[tex]\log_4(4^2) = 2[/tex]
Apply the law of logarithm
[tex]2\log_4(4) = 2[/tex]
Apply the law of logarithm
[tex]2*1 = 2[/tex]
[tex]2= 2[/tex]
The value of x = 4 is true for [tex]\log_4(3x + 4) = 2[/tex].
Hence, the equation [tex]\log_4(3x + 4) = 2[/tex] has a solution of x = 4
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