
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 $\log_{b^3}x + \log_{x^3}b = 2$ where $b>0, b \neq 1, x \neq 1$, determine the value of $x$.
A) $b^{3+2\sqrt{2}}$
B) $b^{3-2\sqrt{2}}$
C) $b^3$
D) $b^{2\sqrt{2}}$
E) $b^{1/\sqrt{2}}$

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