Logarithm Issue. Unable to find answer sheet answer

[Prof. 27]

Homework Statement

log₃9x⁴ - log₃(3x)²

The answer sheet says that the answer is 0, but when I work the problem both ways I get:
2log₃x

Any ideas?

Homework Equations

log_xy/z = log_xy - log_xz

The Attempt at a Solution

Formula Sheet
20-30 Minutes of Messing around with the problem

 

[certainly]

But $(3x^2)^2=9x^4$.....
[Edit:- so yeah either you typed the question wrong or the answer cannot be 0.]

 

[Prof. 27]

I typed it correctly. That's what I thought, but I assumed I must be going crazy or something :| Strange...

 

[certainly]

Then your answer is correct :-)

 

[Ray Vickson]

Homework Statement

log₃9x⁴ - log₃(3x)²

The answer sheet says that the answer is 0, but when I work the problem both ways I get:
2log₃x

Any ideas?

Homework Equations

log_xy/z = log_xy - log_xz

The Attempt at a Solution

Formula Sheet
20-30 Minutes of Messing around with the problem

The formatting of the question is not entirely clear. Do you mean
\log_3 (9x^4) - \log_3 ((3x)^2)\:?
If so, your answer is correct.

Perhaps the person setting the question meant something else, but I cannot imagine what.