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11 April, 12:35

Which expression is equivalent to log18 - log (p + 2) ?

log StartFraction p + 2 Over 18 EndFraction

log StartFraction 18 Over p + 2 EndFraction

log StartFraction 20 Over p EndFraction

log left-bracket 18 times (p + 2) right-bracket

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  1. 11 April, 13:02
    0
    log (18 / (p+2))

    log StartFraction 18 Over p + 2 EndFraction

    Second option is the correct.

    Step-by-step explanation:

    There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:

    log (x) - log (y) = log (x/y)

    So, with we have log18 - log (p + 2), we can rewrite as:

    log18 - log (p + 2) = log (18 / (p+2)), that is:

    log StartFraction 18 Over p + 2 EndFraction

    Second option is the correct.
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