AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations Answers

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1
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Because the are equal

A
bases
B
exponents
C
equations
D
variables
2
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, the must also be equal.

A
bases
B
exponents
C
equations
D
variables
3

Solve: 9x - 3 = 729x =

Answer:

6

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

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

Answer:

5

6

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

Question illustration
Answer:

-2.415

7

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
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?

Answer not available
10

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
11

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

Answer:

1/4

12

Solve: e2x + 5 = 4

A
Option
Option A
B
Option
Option B
C
Option
Option C
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 expression 3x - 1 is not equal to 8 because the logarithms on each side of the equation have different bases; the left side is base 10 and the right side is base 2. To solve the equation, first evaluate the right side: log2(8) = 3. The equation then becomes log(3x - 1) = 3. Next, rewrite the logarithmic equation in exponential form: 3x - 1 = 10^3. This means that 3x - 1 is equal to 1000. Finally, solve for x: 3x = 1001, which gives x = 1001/3.

14

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

15

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

Answer:

PENDING

16

Solve: log5x3 - logx2 = 2 x =

Answer not available
17

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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