SOLUTION: solve the equation by expressing each side as a power of the same base and then equating the exponents 3125^x= 1/sqrt 5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve the equation by expressing each side as a power of the same base and then equating the exponents 3125^x= 1/sqrt 5       Log On


   

Question 735544: solve the equation by expressing each side as a power of the same base and then equating the exponents
3125^x= 1/sqrt 5

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

3125%5Ex=+1%2Fsqrt+5

%285%5E5%29%5Ex=5%5E%28-1%2F2%29

5%5E%285x%29=+5%5E%28-1%2F2%29

5x=-1/2
x=-1/10