Question 236393
log(5,25) = 2 if and only if 5^2 = 25


log(125,25) = (2/3) if and only if 125^(2/3) = 25


125^2 = 15625


15625^(1/3) = root(3,15625) = 25


looks like your answer is:


125^(2/3) = 25


fyi,


125^(2/3) is the same as root(3,125^2) is the same as root(3,125)^2.


this means the cube root of (125 squared) or (the cube root of 125) squared.