Answers LAUSD-Algebra II B Prescriptive - SummerUnit Test

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Which of the following is equivalent to ?

log one-ninth minus log k

log 1 minus log StartFraction 9 Over k EndFraction

log one-ninth minus k

log one-ninth + log k

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What is written as a single logarithm?

log Subscript 3 Baseline 2 z

log Subscript 3 Baseline 2 z squared

log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction

log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction

When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used. Which property listed below is used in all of these proofs?

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Given and , what is ?

1.404

1.739

2.773

2.988

What is written as a single log?

log Subscript 5 Baseline 21

log Subscript 5 Baseline 26

log Subscript 5 Baseline 30

log Subscript 5 Baseline 56

Which of the following is equivalent to log9w?

log9 + logw

log9 - logw

w(log9)

9(logw)

Which expression is equivalent to ?

log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c

log Subscript 8 Baseline 4 + log Subscript 8 Baseline a + (log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c)

log Subscript 8 Baseline 4 a + log Subscript 8 Baseline b minus 4 minus 4 log Subscript 8 Baseline c minus 4

log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus log Subscript 8 Baseline 4 c

Sam is proving the product property of logarithms. StepJustificationGivenSubstitution Which expression and justification completes the third step of her proof?

; power rule of exponents

subtraction property of exponents

multiplication rule of exponents

division property of exponents

Which expression is equivalent to ?

log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w

log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w

log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w

The proof for the power property of logarithms appears in the table with an expression missing. StepReasonGivenSubstitution Properties of exponentsLogarithm property SubstitutionCommutative property of multiplicationWhich expression is missing from the proof?

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