
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
If $\log_{b^3}x - \log_{x^3}b = 3$ where $b > 0, b \neq 1, x \neq 1$, find the value of $x$.
**A)** $b^{4 + \sqrt{85}}$  
**B)** $b^{\frac{9 + \sqrt{85}}{2}}$  
**C)** $b^{\frac{9 - \sqrt{85}}{2}}$  
**D)** $b^{4 - \sqrt{85}}$

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