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5 September, 12:56

Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2 (28) B. 8 C. log 256 D. log2 256

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  1. 5 September, 13:17
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    log_a b=x ⇔a^x=b

    Then:

    log_2 16=x ⇔ 2^x=16

    16=2*2*2*2=2⁴

    2^x=2⁴

    x=4

    so:

    log_2 16=4

    We have the next operation:

    log_2 16 + log_16=4+4=8

    Answer: B. 8
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