Evaluate the following expression. Log8 64

Question

Evaluate the following expression. Log8 64

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Melody 2 weeks 2021-11-21T13:45:09+00:00 2 Answers 0

Answers ( )

    0
    2021-11-21T13:46:55+00:00

    A P E X Answer:

    log8 64 = 2

    0
    2021-11-21T13:47:01+00:00

    Answer:

    2

    Step-by-step explanation:

    Using the rule of logarithms

    log_{b} x = n ⇔ x = b^{n}

    let log_{8} 64 = n, then

    64 = 8^{n}

    note that 64 = 8², thus

    8² = 8^{n} ⇒ n = 2

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