Solve for x:`4^x+9^x=2(6^x)`

Explanation

Given equations can be re-written as `2^(2x)+3^(2x)=2 2^(2x) 3^x implies (2^x-3^x)^ =0`
or, `2^x=3^x`
or, `(2/3)^x=1=(2/3)^0 implies x=0`