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

Question

7716 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-06T08:37:59

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

$x = 10sqrt(10) ~~ 31.627766$

First divide both sides by $10$ to get:

$log x = 15/10 = 3/2$

Then taking exponents we find:

$x = 10^(log x) = 10^(3/2) = 10^(1+1/2) = 10sqrt(10)$

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