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Math Help - solve the logarithmic identity:

  1. #1
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    solve the logarithmic identity:

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  2. #2
    MHF Contributor Siron's Avatar
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    Re: solve the logarithmic identity:

    What have you tried?
    It can be useful to use the definition of a logarithm, for example:
    If x=a^{(1-\log_a(z))^{-1}} and you have to evaluate:
    \log_a(x)
    Substitute the given in the equation and so you get:
    \log_a\left(a^{(1-\log_a(z))^{-1}}\right)=(1-\log_a(z))^{-1}

    Try to reform and substitute ...
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  3. #3
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    Joined
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    Re: solve the logarithmic identity:

    Quote Originally Posted by Siron View Post
    What have you tried?
    It can be useful to use the definition of a logarithm, for example:
    If x=a^{(1-\log_a(z))^{-1}} and you have to evaluate:
    \log_a(x)
    Substitute the given in the equation and so you get:
    \log_a\left(a^{(1-\log_a(z))^{-1}}\right)=(1-\log_a(z))^{-1}

    Try to reform and substitute ...
    yup i tried but it is hard for me... almost an hour ago,,, can you help me.... to evaluate such that things...
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