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heath1992 Group Title

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

  • 2 years ago
  • 2 years ago

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  1. rlex999 Group Title
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    maybe it would be better if u use a calculator to sole it

    • 2 years ago
  2. polpak Group Title
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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.

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

    • 2 years ago
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