AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations Answers

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Answers:
are equal:bases
must also be equal.: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
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
Option
B
Option
C
Option
11

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

A
Option
B
Option
C
Option
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.

15

Because the ✔ basesexponentsequationsvariables are equal

Answers:
are equal:bases
must also be equal.:exponents
17

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

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

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