
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine the real values of $x$ for which the equation 
\[\log(x^2+5x+6) = \log((x+1)(x+4)) + \log(x-2)\]
holds true.
A) $x > 2$
B) $x > 3$
C) all real $x$
D) no real $x$

Present the answer in LaTex format: \boxed{Your answer}
user