Question

If 9 to the power (x+2) - 6×3 to the power (x+1) + 1 = 0 . find the value of x ?

Answer 1

9^(x+2) - 6× 3^(x+1) +1=0
3×3^(x+2) -6×3^(x+1) +1=0
3.3^x.3^2-6.3^x.3+1=0
(27.3^x-18.3^x) +1 =0
3^x(27-18)= -1
3^x= -1/9
3^x = 3^ -2
i.e x= (-2)



Note:- Dot(.) used as a sign fot multiple