Question 236393: For this problem I must write the logarithmic equation in exponential form. For example the exponential form of "log5 25 = 2" is "5^2 = 25"
log125 25 = 2/3
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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