Question 80153
You need to recognize the key fact that a logarithm is an exponent. So the equation log(base x)(8/125)=3 can be re-written as follows:
{{{x^3=8/125}}}
Now you just take the cube root of each side to solve for x. You will find that
{{{highlight(x=2/5)}}}
Good Luck,
tutor_paul@yahoo.com