Solve the following equation 9x123x270 Be sure to use logs f

Solve the following equation 9^x-12*3^x+27=0. Be sure to use logs for the steps.

Solution

9^x-12*3^x+27=0

3^2x-12*3^x+27=0

3^x=y

y²-12y+27=0

(y-3)(y-9)=0

y=3 , 9

3^x=3 , 3^x=9

3^x=3¹,3^x=3²

x=1,x=2