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Thread: Log in terms of a log

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    Log in terms of a log

    Given log186 = a, find log1816 in terms of a. I have looked at some other problems and I can't figure out how this would even work.
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    Re: Log in terms of a log

    Quote Originally Posted by jstr99 View Post
    Given log186 = a, find log1816 in terms of a. I have looked at some other problems and I can't figure out how this would even work.
    There are infinitely many correct answers.

    $a=\frac{\log(6)}{\log(18)}~\&~b=\frac{\log(16)}{\ log(18)}$ implies that $b=\frac{a\log(16)}{\log(6)}=a\log_6(16)$
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