Let () be a logarithmic equation of base 1/3 . Let () be the equation be the result of: shifting the graph of () left 2; stretching the graph of () vertically by 3; shifting the graph of () down 6.

1) Write the equation of ().

A student was presented with the following problem:

Simplify:

_log3 3^{x+4 Just FYI:} ( Log base 3 of 3 ^x+4)

The student gave the following incorrect solution:

_log3 3^x+4 = 3( + 4) = 3 + 12

2) Explain why the solution is wrong.

3)Provide the correct solution.

Please provide detailed steps