
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
Find the values of $x$ for which the equation $\log_2(x^3 - 15x^2 + 60x) = 3$ holds true.
A) $2, \frac{13 \pm \sqrt{153}}{2}$  
B) $2, \frac{13 \pm \sqrt{165}}{2}$  
C) $2, \frac{15 \pm \sqrt{153}}{2}$  
D) $4, \frac{13 \pm \sqrt{153}}{2}$  
E) None of these

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