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Math Help - Write th folowing in Logarithmic Form

  1. #1
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    Write th folowing in Logarithmic Form

    I am really stuck with this problem, any help would be greatly appreciated

    d^5/f^2=h^0.25(c/e-g)^3

    Thanks,

    JP
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  2. #2
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    Hello, JP!

    The instructions are rather vague.

    I assume we are to take logs ... then "expand" the expression.



    \frac{d^5}{f^2} \:=\:h^{\frac{1}{4}}\left(\frac{c}{e-g}\right)^3

    We have: . \log\left(\frac{d^5}{f^2}\right) \;=\;\log\left[h^{\frac{1}{4}}\left(\frac{c}{e-g}\right)^3\right]

    . . . \log(d^5) - \log(f^2) \;=\;\log\left(h^{\frac{1}{4}}\right) + \log\left(\frac{c}{e-g}\right)^3

    . . . 5\log(d) - 2\log(f) \;=\;\frac{1}{4}\log(h) + 3\log\left(\frac{c}{e-g}\right)

    . . . 5\log(d) - 2\log(f) \;=\;\tfrac{1}{4}\log(h) + 3\bigg[\log(c) - \log(e-g)\bigg]

    . . . 5\log(d) - 2\log(f) \;=\;\tfrac{1}{4}\log(h) + 3\log(c) - 3\log(e-g)

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  3. #3
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    thanks very much on that one
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