Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Evaluating Logarithmic Expressions

Evaluating Logarithmic Expressions Answers

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What is the value of ?

–6

–2

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Which equation is equivalent to ?

2 Superscript x Baseline = 36

x squared = 36

36 Superscript x Baseline = 2

x squared = 36 squared

What is the solution of ?

–18

–2

Which equation is equivalent to ?

3 squared = left-bracket log Subscript 3 Baseline (x + 5) right-bracket cubed

2 cubed = left-bracket log Subscript 3 Baseline (x + 5) right-bracket squared

3 squared = x + 5

2 cubed = x + 5

Which logarithmic equation is equivalent to 32 = 9?

2 = log Subscript 3 Baseline 9

2 = log Subscript 9 Baseline 3

3 = log Subscript 2 Baseline 9

3 = log Subscript 9 Baseline 2

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.

–5.95

–4.60

3.25

4.60

What is the value of ?