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## anonymous 4 years ago what is equivalent to log 50 7 rounded to three decimal places

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1. anonymous

maybe it would be better if u use a calculator to sole it

2. anonymous

$log_{50}7 =k \implies 50^k = 7$ Now take a different log of that last equation (maybe 10 or the natural log, or another one that your calculator supports.

3. anonymous

$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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