SOLUTION: Solve the equation without using a calculator. 125^x=25 sqrt 5

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Question 921787: Solve the equation without using a calculator.
125^x=25 sqrt 5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
125^x=25 sqrt 5
%285%5E3%29%5Ex+=+5%5E2%2Asqrt%285%29+=+5%5E2.5
5%5E%283x%29+=+5%5E2.5
3x = 2.5
x = 2.5/3
x = 5/6