Question

Solve 3^^^x−5 = 9.
A. x = −3
B.x = 2
C. x = 7
D. x = 8

Answer 1

x=7

Explanation:

3^(x-5)=9

3^(x-5)=3^2

x-5=2

x=7

Answer 2

For this case we must solve the following equation:

`3^(x-5) = 9`

We rewrite:

`9 = 3 ^ 2 = 3 * 3`

Then, replacing:

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

For the bases to be equal then it must be fulfilled that:

`x-5 = 2`

Adding 5 to both sides of the equation:

`x-5 + 5 = 2 + 5\\x = 7`

Answer:

`x = 7`

Option C