Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Logarithmic Functions

Solving Logarithmic Equations using Technology Answers

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Which logarithmic equation is equivalent to 82 = 64?

2 = log Subscript 6 Baseline 64

2 = log Subscript 64 Baseline 8

8 = log Subscript 2 Baseline 64

64 = log Subscript 2 Baseline 8

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What is the solution of ?

–18

–2

Which equation has x = –6 as the solution?

log Subscript x Baseline 36 = 2

log Subscript 3 Baseline (2 x minus 9) = 3

log Subscript 3 Baseline 216 = x

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

What is the solution of ?

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

Which logarithmic equation is equivalent to 32 = 9?

2 = log Subscript 3 Baseline 9