Question

Solve 3^x−5 = 9. (the x-5 is an exponent to the 3)

a. x = -3
b. x = 7
c. x = 2
d. x = 8

Answer 1

x=7

Explanation:

3^(x−5) = 9

Rewrite 9 and 3^2

3^(x−5) = 3^2

Since the bases are the same, the exponents have to be the same

x-5 = 2

Add 5 to each side

x-5+5 =2+5

x = 7