Answer:
[tex]x = \frac{8}{3}[/tex] is the solution to [tex]\log_2 9x - \log_2 3 = 3[/tex]
Step-by-step explanation:
Using the logarithmic rules:
[tex]\log \frac{m}{n} = \log m -\log n[/tex]
if [tex]\log_b x = a[/tex] then;
[tex]x = b^a[/tex]
Given the equation:
[tex]\log_2 9x - \log_2 3 = 3[/tex]
Solve for x:
Apply the logarithmic rules:
[tex]\log_2 \frac{9x}{3} = 3[/tex]
⇒[tex]\log_2 3x = 3[/tex]
Apply the logarithmic rules;
[tex]3x = 2^3[/tex]
⇒[tex]3x = 8[/tex]
Divide both sides by 3 we have;
[tex]x = \frac{8}{3}[/tex]
Therefore, the solution for the given equations is, [tex]x = \frac{8}{3}[/tex]
Answer: B or option two on edg
X = 8/3
Step-by-step explanation:
johnnys baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. the team has a total of 11 players. let x represent how much each player needs to raise in order to play in the tournament .
Use the function f(x) = 2 - 5x to fill in the blanks in the table.
x f(x)
-2
-1
0
1
2
2-5(-2)=12
2-5(-1)=7
2-5(0)=2
2-5(1)=-3
2-5(2)=-8
What is (12x - 32) in simplest form as an expression?
The expression (12x - 32) is already in simplest form.
Explanation:The expression (12x - 32) is already in simplest form. There are no like terms to combine or any common factors to factor out. So the expression cannot be simplified further.
How to solve
7x-3=-3+7x
Write these words in alphabetical order: tenth rough tough laugh guess
The words 'tenth rough tough laugh guess' in alphabetical order are 'guess, laugh, rough, tenth, tough'. The order is determined by the letters of the alphabet.
Explanation:The English words from your question 'tenth rough tough laugh guess' can be rearranged in
alphabetical order
as follows: 'guess, laugh, rough, tenth, tough'. Alphabetical order is determined by the letters of words following the order of letters in the alphabet. So, first, all the words starting with 'g', then 'l', then 'r', then 't'. In this specific circumstance, since 'tenth', 'tough', and 'rough' all begin with the same letter, we must look at the following letter in each word to determine their order.
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There are 8 squares. If 25% of the squares are red and the rest of them are blue how many squares are red
Customers at an ice-cream shop took a survey. The results showed that 144 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey ? explaination plz
The total number of customers who took the survey is 320 customers
let
x = total number of customers
percentage of "very satisfactory" customers = 45%
Number of "very satisfactory" customers = 144
So,
Number of "very satisfactory" customers = percentage of "very satisfactory" customers × total number of customers
144 = 45% × x
144 = 0.45 × x
144 = 0.45x
x = 144/0.45
x = 320
Therefore, the total number of customers who took the survey is 320
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I have been stuck on this for days someone pls help!!!!
A building is 2 ft from a 12 ft fence that surrounds the property. A worker wants to wash a window in the building 17 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a foot, how long of a ladder will he need?
Using Pythagoras theorem, the ladder must be 19.7ft long.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Perpendicular = height of the window from the ground = 17ft
Base = distance of the foot of the ladder from the base of the building = 10ft
Hypotenuse = [tex]\sqrt{perpendicular^{2} +base^{2} }[/tex]
H = [tex]\sqrt{17^{2}+10^{2} }[/tex] = 19.4ft
Length of ladder = 19.4ft
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which of the following tables matches the graph below?
Which following best express this population
solve and check the linear equation 7(x+4)=4[×-(9-x)]
divide
7,647÷34=
a.224 r31
b.227 r29
c.251 r13
d.254 r11
the answer to this question
What's the missing number in the pattern 12,24,72,288 _______
-0.38 (repeating 8) written as a fraction is _____.
what is 320 million in scientific notation?
The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
Example:
2.9 x 10² is in scientific notation
3.4 x 10³ is in scientific notation
4.4 x 10³ is in scientific notation
We have,
320 million
This can be written as,
1 million = 1000000
So,
= 320 x [tex]10^6[/tex]
= 32 x [tex]10^7[/tex]
Multiply 10/10 to make a number between 1 and 10.
= 32/10 x 10 x [tex]10^7[/tex]
Make an exponent of base 10.
= 3.2 x [tex]10^8[/tex]
Thus,
The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].
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Which values for x and y make the statement (x + 3)(y - 11) = 0 true?
First answer will be marked brainliest I need this ASAP please!
A. x = -3, y = 11
B. x = 3, y = -11
C. x = -3, y = -11
D. x = 3, y = 11
how do you simplify i^68
I believe the answer is 1.
How many solutions does (x+7)=0 have
(Picture) WILL GIVE BRAINLIEST! Please help me need in 10 minutes:)
About 12500 icebergs break away from Greenland each year of these about 375 float onto the Atlantic Ocean what fraction of the icebergs float onto the Atlantic Ocean ? Write your answer for part a as a decimal? What fraction of the icebergs do not float onto Atlantic?
suppose you want to buy three loaves of bread that cost $1•50 each and a jar of peanut butter that costs $4. A jar of jelly is $2•75, but you don't need any jelly. you have $10. how much money will you have left over
Julius playing in a baseball tournament and scored 24 points in her first game if she averages over 20 points for both games she will receive a trophy how many points can Julie score in the second game and receive a trophy solve it as a inequality
to average 20 points in 2 games she needs a total of 20*2 = 40 points
she scored 24 so she needs 40-24 = 16 points in her second game
the question says she needs over 20 points so she should score at least 17 to be over
inequality x+24>40
Is negative one half rational or irrational
the temperature is -4f a high pressure front increases the temperature to 8f by how many degrees did the temperature increase
Fund a product of 3/8 x 7/9
Two more than a certain number is 15 less than the product of 7/8 and the number
Final answer:
The algebraic equation derived from the statement is solved by isolating 'x' after moving terms to either side of the equation and combining like terms. The solution to the equation is x = -136, which represents the certain number in question.
Explanation:
Solving the Algebraic Equation
The question can be translated into an algebraic equation. Let's call the certain number 'x'. According to the problem, 'two more than a certain number is 15 less than the product of 7/8 and the number'. We can write this as:
x + 2 = (7/8)x - 15
To solve for x, we can start by moving all terms involving x to one side of the equation and the constant terms to the other side, aiming to isolate x:
Subtract (7/8)x from both sides to get x - (7/8)x + 2 = -15.
Combine like terms, remembering that x is the same as (8/8)x, which results in (1/8)x + 2 = -15.
Subtract 2 from both sides to get (1/8)x = -17.
Multiply both sides by 8 to find x. Therefore, x = -136.
The certain number in the equation is -136.
Solve for the variable. Type the value of the variable in the answer. For example if x = 2, only enter 2 in the answer blank. Solve.
8
-- = 2
13
I need to know if I'm writing this inequality right !