Question

solve for x:
(-8/5)^4*(-8/5) ^x+5=(-8/5)^2x+3

Answer 1

(-8/5)^4*(-8/5)^x+5=(-8/5)^2x+3
we know that 
a^m*a^n=a^m+n
(-8/5)^4+x+5=(-8/5)^2x+3
if,
   a^m=a^n
then,
       m=n
therefore    9+x=2x+3
                      6=x
that implies  x=6