Evaluating Logarithmic Expressions

Question 1

Which equation can you use to evaluate log61,296?

Revolt · Accepted Answer

C: 6a = 1,296

Question 2

Evaluate: log1212

Revolt · Accepted Answer

B: 1

Question 3

Match each logarithm to its value. A. Logarithm ABCD is equal to –3.

Revolt · Accepted Answer

D: D

Question 4

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

Revolt · Accepted Answer

AssessCtrl0783e4cf-f459-4056-8058-ed9a327bca27_1_A,AssessCtrl0783e4cf-f459-4056-8058-ed9a327bca27_1_B

Question 5

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

Revolt · Accepted Answer

-0.2047, 0.6947

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 error is in Step 1: the logarithmic equation was translated incorrectly. The base 4 should be raised to the exponent 3, so 2x − 12 = 4³ = 64. Then 2x = 76, and x = 38.

Question 7

Find the intensity in decibels [I(dB)] for each value of I.

Revolt · Accepted Answer

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

Question 8

Normal conversation: I = 106I0 I(dB) = [___]

Revolt · Accepted Answer

60

Question 9

Use a calculator to solve each problem. Round your answers to the nearest hundredth.What is the absolute magnitude of a star that has a period of 62 days?

Revolt · Accepted Answer

-6.47

Question 10

What is the absolute magnitude of a star that has a period of 50 days?

Revolt · Accepted Answer

-6.20

Evaluating Logarithmic Expressions Answers

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