
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 $\log_{b^3}x + \log_{x^3}b = 1$ where $b>0, b \neq 1, x \neq 1$, then find $x$.
A) $b^{\frac{3+\sqrt{5}}{2}}$
B) $b^{\frac{3-\sqrt{5}}{2}}$
C) $b^{\sqrt{5}}$
D) $\frac{1}{b^3}$

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