Evaluating Logarithmic Expressions

Question 1

Which equation can you use to evaluate log61,296?

Revolt · Accepted Answer

B: 6a = 1,296

Question 2

Evaluate: log1212

Revolt · Accepted Answer

B: 1

Question 3

Match each logarithm to its value. A. Logarithm is equal to –3. B. Logarithm is equal to . C. Logarithm is equal to . D. Logarithm is equal to .

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D: D

Question 4

Which equation(s) have x = 2 as the solution?

Revolt · Accepted Answer

A: log2(5x + 6) = 4; B: logx16 = 4

Question 5

Solve: log4(7t + 2) = 2t =

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2

Question 6

A student solved log4(2x – 12) = 3, as shown.Step 1: 2x – 12 = 34Step 2: 2x – 12 = 81Step 4: 2x = 93Step 5: x = 46.5 Explain the error and find the correct solution.

Revolt · Accepted Answer

The student made an error in Step 1 by incorrectly swapping the base and the exponent when converting the equation from logarithmic form to exponential form. They used 3 as the base and 4 as the exponent ($3^4 = 81$) instead of using 4 as the base and 3 as the exponent ($4^3 = 64$).

Correct solution:
log4(2x – 12) = 3
2x – 12 = 4^3
2x – 12 = 64
2x = 76
x = 38

Question 7

Find the intensity in decibels [I(dB)] for each value of I. Normal conversation: I = 106I0 I(dB) = Power saw a 3 feet: I = 1011I0 I(dB) = Jet engine at 100 feet: I = 1018I0 I(dB) =

Revolt · Accepted Answer

Normal conversation:: 60; Power saw a 3 feet:: 110; Jet engine at 100 feet:: 180

Question 8

Evaluate: log61,296 =

Revolt · Accepted Answer

4

Question 9

Evaluate: log279

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B: mc002-2.jpg

Question 10

B. Logarithm is equal to .

Revolt · Accepted Answer

C: C

Evaluating Logarithmic Expressions Answers

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