Evaluating Logarithmic Expressions

Question 1

Which equation has x = –6 as the solution?

Revolt · Accepted Answer

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Question 2

What is the solution of ?

Revolt · Accepted Answer

4

Question 3

What is the value of ?

Revolt · Accepted Answer

3

Question 4

A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.

Revolt · Accepted Answer

–5.95

Question 5

What is the value of ?

Revolt · Accepted Answer

2

Question 6

Which equation is equivalent to ?

Revolt · Accepted Answer

x squared = 36

Question 7

Which logarithmic equation is equivalent to 82 = 64?

Revolt · Accepted Answer

2 = log Subscript 6 Baseline 64

Question 8

Which equation is equivalent to ?

Revolt · Accepted Answer

3 squared = x + 5

Question 9

What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.

Revolt · Accepted Answer

1.6

Question 10

What is the value of ?

Revolt · Accepted Answer

4

Evaluating Logarithmic Expressions Answers

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