Question 1120410
At least as written, there is no set formula to solve this.
If the terms on the left were multiplied together, then log to base 2 of both sides could be used.

One can graph this to solve.
{{{graph(300,300,-5,5,-35,35,2^(x+3)+2^(3x-2)+2^(5x+1)-32)}}}
x=0.643