Posted by amber on Thursday, February 19, 2009 at 8:49am.
solve the equation by expressing each side as a power of the same base and then equating exponents
3125^x=1/square root 5

math need now  Reiny, Thursday, February 19, 2009 at 9:11am
did you realize that 3125 is a power of 5, namely 3125 = 5^5
and √5 = 5^(1/2) then 1/√5 = 5^(1/2)
so your equation becomes
(5^5)^x = 5^(1/2)
5^5x = 5^(1/2)
then 5x = 1/2
x = 1/10