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

1 Answer
Dec 6, 2015

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

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

Explanation:

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)#