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Math Help - Log derivatives

  1. #1
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    Log derivatives

    How do you find derivative of this equation. If possible could you write out the steps to get to the answer.

    equation:g(t)=(10log4 t)/t

    I know the answer is: (5/ln2tē)(1-ln(t))

    Also does any know a good program to use to be able to put all of this stuff into a better mathematical looking equation?
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  2. #2
    Super Member wingless's Avatar
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    \frac{10 \log_4 t}{t}

    \frac{10 \frac{1}{2}\log_2 t}{t}

    \frac{5\log_2 t}{t}

    \frac{5\frac{\ln t}{\ln 2}}{t}

    \frac{5\ln t}{\ln 2\cdot t}

    \frac{5}{\ln 2}\cdot \frac{\ln t}{t}

    Now you can differentiate \frac{\ln t}{t} and multiply it with the constant \frac{5}{\ln 2}.


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