How do you solve 3 log x=1.5?

1 Answer
Dec 21, 2015

x=sqrt(10)

Explanation:

3log(x) = log(x^3)

10^(log(x^3)) = x^3

So if 3log(x) = 1.5
then
color(white)("XXX")x^3= 10^(1.5) = 10^(0.5)xx10^(0.5)xx10^(05)

color(white)("XXX")rarr x= 10^(0.5) = sqrt(10)