Evaluating Logarithmic Expressions

Question 1

Which equation can you use to evaluate log61,296?

Revolt · Accepted Answer

6a = 1,296

Question 2

Evaluate: log61,296 =

Revolt · Accepted Answer

4

Question 3

Which equation can you use to evaluate ?

Revolt · Accepted Answer

Answer image: https://r10.core.learn.edgenuity.com//media.edgenuity.com/EVresources/3111-10-04-20-01-task/mc002-2.jpg

Question 4

Simplify:=

Revolt · Accepted Answer

-3

Question 5

Evaluate: log1212

Revolt · Accepted Answer

1

Question 6

Match each logarithm to its value.

Revolt · Accepted Answer

Logarithm is equal to .; Selection 1: D; Selection 2: C; Selection 3: B; Selection 4: A

Question 7

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

Revolt · Accepted Answer

log2(5x + 6) = 4; logx16 = 4

Question 8

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

Revolt · Accepted Answer

2

Question 9

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 10

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

Evaluating Logarithmic Expressions Answers

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