Question

Solve: $4^x-{9.2}^x+2^3=0$.

Answer 1

Now,

$4^x-{9.2}^x+2^3=0$

or, $4^x-{9.2}^x+8=0$

or, $4^x-{8.2}^x-2^x+8=0$

or, $2^x(2^x-8)-1(2^x-8)=0$

or, $(2^x-1)(2^x-8)=0$

or, $2^x=1$ or ,$2^x=8$

or, $x=0$ or, $x=3$.