AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations Answers

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1
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The solution to the equation is x = .

Answer:

4

2
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, the must also be equal.

Answer not available
3

Because the are equal

Answers:
Selection 1:bases
Selection 2:exponents
4

What equation is equivalent to 9x - 3 = 729?

A
9x - 3 = 981
B
9x - 3 = 93
C
3x - 3 = 36
D
32x - 3 = 36
5

Solve: 9x - 3 = 729x =

Answer:

6

6

To solve 5(2x + 4) = 15, first divide each side by .

Answer:

5

7

Question text not available

Answer not available
8

Select all of the potential solution(s) of the equation 2log5x = log54.

A
x = -2
B
x = 4
C
x = 16
D
x = -10
E
x = 2
9

Which equation is equivalent to log5x3 - logx2 = 2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
10

What is the solution to ln (x2 - 16) = 0?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
11

Question text not available

Answer not available
12

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Answer:

In the equation log(3x - 1) = log2(8), 3x - 1 is not equal to 8 because the logarithms have different bases; the left side is the common logarithm (base 10) while the right side is base 2. To solve the equation, first simplify the right side: log2(8) = 3 because 2 to the third power is 8. This results in the equation log(3x - 1) = 3. Next, rewrite the logarithmic equation in exponential form using base 10: 3x - 1 = 10^3. Therefore, 3x - 1 is equal to 1000. To find x, add 1 to both sides and divide by 3 (x = 1001/3).

13

Question text not available

Answer not available
14

Solve 5(2x + 4) = 15. Round to the nearest thousandth.

Question illustration
Answer:

-2.415

15

What is the solution to 2log5x = log54? x =

Answer:

2

16

Solve: log5x3 - logx2 = 2 x =

Answer:

20

17

Question text not available

Answer not available
18

Which did you include in your answer?

A
The bases are not the same, so you cannot set 3x - 1 equal to 8.
B
You can evaluate the logarithm on the right side of the equation to get 3.
C
You can use the definition of a logarithm to write 3x - 1 = 1000.

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