SOLUTION: Solve for x: {{{125^x=25sqrt(5)}}}

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Question 332: Solve for x: 125%5Ex=25sqrt%285%29
Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
It is actually an easy problem. Convert left and right side to the base of 5:
5%5E%283x%29+=+5%5E2%2A5%5E%281%2F2%29
5%5E%283x%29+=+5%5E2.5
3x = 2.5
x = 2.5/3 = (5/2):3 = 5/6