
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
Given that $\log_2 16 = 4$ and $\log_3 27 = 3$, find the only logarithm that cannot be determined directly or through simple application of logarithmic identities:
1. $\log_2 256$
2. $\log_3 81$
3. $\log_2 (20 \times 12)$
4. $\log_3 (45 \times 40)$
5. $\log_5 25$
A) $\log_2 256$
B) $\log_3 81$
C) $\log_2 (20 \times 12)$
D) $\log_3 (45 \times 40)$
E) $\log_5 25$

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