SOLUTION: {{{ 2^(2x-3) = 5^(-x-1) }}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: {{{ 2^(2x-3) = 5^(-x-1) }}}      Log On


   

Question 362349: +2%5E%282x-3%29+=+5%5E%28-x-1%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5E%282x-3%29+=+5%5E%28-x-1%29+
(2x-3)*log(2) = (-x-1)*log(5)
2x*log(2) - 3log(2) = -xlog(5) - log(5)
2log(2) = log(4) and 3log(2) = log(8)
-------------------------------------
x*log(4) + x*log(5) = log(8) - log(5)
x(log(4) + log(5)) = log(1.6)
x*log(20) = log(1.6)
x = log(1.6)/log(20)
x =~ 0.678072