A. Express log 96 in terms of log 2 and log 3.

Question

A. Express log 96 in terms of log 2 and log 3.

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Nick 3 years 2021-07-22T00:13:30+00:00 2 Answers 23 views 0

Answers ( )

  1. lethu
    0
    2021-07-22T00:14:45+00:00
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    Answer:

    linear equations

    Step-by-step explanation:

  2. Cherry
    0
    2021-07-22T00:14:50+00:00
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    Answer:

    5log2 + log3

    Step-by-step explanation:

    Using the rules of logarithms

    logx + logy = log(xy)

    logx^{n} ⇔ nlogx

    Given

    log96

    Express 96 as a product of its prime factors

    96 = 2^{5} × 3 , then

    log96

    = log(2^{5} × 3 )

    = log2^{5} + log3

    = 5log2 + log3

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