SOLUTION: 25 to the power of 10x+8=(1/125) to the power of 4-2x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 25 to the power of 10x+8=(1/125) to the power of 4-2x      Log On


   

Question 1060437: 25 to the power of 10x+8=(1/125) to the power of 4-2x
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
25^(10x+8)=(1/125)^(4-2x)
(5^2)^(10x+8)=(5^-3)^4-2x
5^(20x+16)=5^(-12+6x)
20x+16=6x-12
14x=-28
x=-2. ☺☺☺☺