You only have half the equation there, but you can "simplify that side" by using a common denominator of 8, so it will be "2x/8 - x/8" which will be x/8
4^x=(2^x)^2 8^x=(2x)^3 Let 2^x=y, then the equation could be re-written as y+y^2=y^3 or y^3 - y^2 - y=0 y(y^2 - y - 1)= 0 y=o and y^2 - y - 1= 0 this is quadratic equation which can be solved to ge the values of y which gives y=[1+sqrt(5)]/2 or y=[1-sqrt(5)]/2 subtituting the values of y in the expression 2^x=y and get the value for x, which would give two value of x x={log(1+sqrt(5)/2}/log2 = 0.6942 or x={log(1-sqrt(5)/2}/log2 =