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heath1992

  • 4 years ago

what is equivalent to log 50 7 rounded to three decimal places

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  1. rlex999
    • 4 years ago
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    maybe it would be better if u use a calculator to sole it

  2. polpak
    • 4 years ago
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    \[log_{50}7 =k \implies 50^k = 7\] Now take a different log of that last equation (maybe 10 or the natural log, or another one that your calculator supports.

  3. polpak
    • 4 years ago
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    \[log(50^k) = log(7)\]\[\implies k\cdot log(50) = log(7)\]\[\implies k = \frac{log(7)}{log(50)}\]\[\implies log_{50}(7) = \frac{log(7)}{log(50)}\]

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