SOLUTION: Solve the equation by expressing each side as a power of the same base and then equating exponents? 125^x = 1/sqaure root(5)

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Question 975654: Solve the equation by expressing each side as a power of the same base and then equating exponents?
125^x = 1/sqaure root(5)

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Solve the equation by expressing each side as a power of the same base and then equating exponents?
125^x = 1/sqaure root(5)
(5^3)^x=1/5^(1/2)
5^3x=5^(-1/2)
3x=-1/2
x=-1/6

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