How do you solve $10 log x = 15$ $10 log x = 15$ ?

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Answer 1 · 2015-12-06T08:37:59

Divide both sides by $10$ $10$ then take exponents to find:

$x = 10 \sqrt{10} \approx 31.627766$ $x = 10sqrt(10) ~~ 31.627766$

First divide both sides by $10$ $10$ to get:

$log x = \frac{15}{10} = \frac{3}{2}$ $log x = 15/10 = 3/2$

Then taking exponents we find:

$x = 10^{log x} = 10^{\frac{3}{2}} = 10^{1 + \frac{1}{2}} = 10 \sqrt{10}$ $x = 10^(log x) = 10^(3/2) = 10^(1+1/2) = 10sqrt(10)$

How do you solve 10logx=1510 log x = 15?