Question

Solve for x : 3^2x-1-30(3x^-1)+27=0​

Answer 1

Step-by-step explanation:

3^(2x-1)-30(3x^(-1))+27=0

3^(2x-1)-30(3/x)+27=0

(3^2x/3)-90/x+27=0

3^2x-270+81=0

3^2x=180

taking square root on both sides,

√3^2x=√180.

3x=√36*5

3x=6√5

x=2√5