AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations Answers

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An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number. years

Answer:

PENDING

2
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, the must also be equal.

Answer not available
3

The solution to the equation is x = .

Answer:

4

4

Because the are equal

Answers:
Selection 1:bases
Selection 2:exponents
5

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

A
9x - 3 = 981
B
9x - 3 = 93
C
3x - 3 = 36
D
32x - 3 = 36
6

Solve: 9x - 3 = 729x = ⇒ 6

Answer:

C

7

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

Answer:

5

8

Which of the following is the solution of 5e2x - 4 = 11?

A
x = ln 3
Option A
B
x = ln 27
Option B
C
Option
Option C
D
Option
Option D
9

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
10

Which equation is equivalent to log5x3 - logx2 = 2?

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

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
12

Solve: ln 2x + ln 2 = 0x =

Answer:

1/4

13

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:

The bases are not the same, so you cannot set 3x - 1 equal to 8. Evaluate the logarithm on the right: log₂8 = 3. Then use the definition of a logarithm: log(3x - 1) = 3 means 3x - 1 = 10³ = 1000.

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

Solve: e2x + 5 = 4

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