SOLUTION: Please help me answer this quesion Solve the equation by expressing each side as a power of the same base and then equating exponents 3125^x=1/sqrt5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me answer this quesion Solve the equation by expressing each side as a power of the same base and then equating exponents 3125^x=1/sqrt5      Log On


   



Question 472986: Please help me answer this quesion
Solve the equation by expressing each side as a power of the same base and then equating exponents

3125^x=1/sqrt5

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3125^x=1/sqrt5
---
5%5E%285x%29+=+5%5E%28-1%2F2%29
5x = -1/2
x = -1/10