Question

Solve 3^x−5 = 9. (3 points) Select one: a. x = −3 b. x = 2 c. x = 7 d. x = 8

Answer 1

ANSWER

C. x=7

Step-by-step explanation

The given exponential equation is


`{3}^(x - 5) = 9`

We rewrite the right hand side as 3 raised to exponent 2.


`{3}^(x - 5) = {3}^(2)`

Observe that the base of both sides of the equation are equal.

We now equate the exponents.


`x - 5 = 2`

Solve for x,


`x = 2 + 5`


`x = 7`

The correct choice is C.