Evaluating Logarithmic Expressions

Question 1

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

Revolt · Accepted Answer

log2(5x + 6) = 4

Question 2

Solve: log4(7t + 2) = 2t = ⇒ 2

Revolt · Accepted Answer

B

Question 3

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 switching the base and the exponent when converting the logarithmic equation to exponential form. Instead of 3^4, it should be 4^3, because the base of the logarithm (4) becomes the base of the power. Correct Solution: 4^3 = 2x - 12 64 = 2x - 12 76 = 2x x = 38

Question 4

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB) = 10log I I0 where I is the intensity of a given sound, and I0 is the threshold of hearing intensity. The human ear is just able to notice a 1 dB difference in sound intensity.

Revolt · Accepted Answer

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

Question 5

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

Revolt · Accepted Answer

-6.07

Question 6

Evaluate: log279

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-10-04-20-02-task/mc002-2.jpg

Question 7

B. [image 1] Logarithm AX B✔ CD is equal to [image 2] .

Revolt · Accepted Answer

✔ C

Question 8

Solve: logx343 = 3x =

Revolt · Accepted Answer

2.3165

Question 9

Power saw a 3 feet: I = 1011I0 I(dB) = [___]

Revolt · Accepted Answer

110

Question 10

Which equation can you use to evaluate ?

Revolt · Accepted Answer

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

Evaluating Logarithmic Expressions Answers

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