SOLUTION: (1/4)^x= 8^x-1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: (1/4)^x= 8^x-1      Log On


   



Question 266423: (1/4)^x= 8^x-1
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(1/4)^x= 8^x-1
x*log(1/4) = (x-1)*log(8)
x = (x-1)*log(8)/log(1/4)
x = (x-1)*(-3/2)
2x = 3 - 3x
x = 3/5