Question

What is the values of x if g^x-1 -2=25

Answer 1

Explanation:

here is a simpler solution :

27=3^3 and 9=3^2

9^(x-1) =27

(3^2)^(x-1) = 3^3

3^(2x-2) = 3^3

2x-2 =3

2x =5

so: x=5/2

Answer 2

9^(x - 1) - 2 = 25

9^(x - 1) = 27

ln[9^(x - 1)] = ln 27

ln9(x - 1) = ln 27

xln9 - ln9 = ln 27

xln9 = [ln 27 + ln 9]

x = [ln 27 + ln 9]/ln 9

x = 5/2