For this case we must solve the following equation:
[tex]3^{x-5} = 9[/tex]
We rewrite:
[tex]9 = 3 ^ 2 = 3 * 3[/tex]
Then, replacing:
[tex]3^{x-5} = 3 ^ 2[/tex]
For the bases to be equal then it must be fulfilled that:
[tex]x-5 = 2[/tex]
Adding 5 to both sides of the equation:
[tex]x-5 + 5 = 2 + 5\\x = 7[/tex]
Answer:
[tex]x = 7[/tex]
Option C
