
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
Solving the equation in a different logarithmic base:
\[ 2 \log_5 x - 3 \log_5 4 = 1 \]
A) $4\sqrt{5}$
B) $16\sqrt{5}$
C) $-4\sqrt{5}$
D) $8\sqrt{5}$

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