Question

The question is in the comments - algebra 2

Answer 1

\[3^{x-4} = 6\]
take the log base 3 on each side
\[\log_{3}(3^{x-4})=\log_3{6}\]
log_3 (3) cancels out
\[x-4=\log_3{6}\]
apply the change of base formula to the log on the right. the "y" value will be 6 and the base "b" will be 3. from there, simply divide the two logs, then add 4 to both sides to isolate x.

Answer 2

Okay, thank you so much, I think I understand now!
Did I solve it correctly?

\[x - 4 =\frac{ \log(6) }{ \log(3) }\]
\[x - 4 = \frac{ 0.778151 }{ 0.477121 }\]
\[x - 4 = 1.630930\]
\[x = 5.630930\]

Answer 3

Correct, just make sure to round to the thousandth place (3 decimal places)