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10 September, 03:37

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.

log base two of eight minus log base two of z.

log base two of z divided by eight.

log base two of eight divided by z.

log base two of eight minus z.

log base four of eight divided by z.

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  1. 10 September, 06:47
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    log₂ (8/z)

    Step-by-step explanation:

    The applicable rule is ...

    log (a/b) = log (a) - log (b)

    You have a=8 and b=z, so ...

    ... log₂ (8) - log₂ (z) = log₂ (8/z)
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