Evaluating Logarithmic Expressions

Question 1

Question 1

Revolt · Accepted Answer

is equal to –3.: D; is equal to: A

Question 2

B. Logarithm AX B✔ CD is equal to .

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✔ C

Question 3

C. Logarithm A✔ BX CD is equal to .

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✔ B

Question 4

D. Logarithm ✔ ABCD is equal to .

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✔ A

Question 5

Match each logarithm to its value. A. Logarithm ABC✔ D is equal to –3.

Revolt · Accepted Answer

✔ D; is equal to –3.: D; is equal to: C; is equal to: B; is equal to: A

Question 6

Solve: log4(7t + 2) = 2t = ⇒ 2

Revolt · Accepted Answer

-0.2047, 0.6947

Question 7

Solve: logx343 = 3x = ⇒ 7

Revolt · Accepted Answer

2.3165

Question 8

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 9

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 10

What is the absolute magnitude of a star that has a period of 50 days? ⇒ -6.07

Revolt · Accepted Answer

-6.20

Evaluating Logarithmic Expressions Answers

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