
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 $g(x)=\log \left(\frac{1+x}{1-x}\right)$ for $-1<x<1$, find $g\left(\frac{4x - x^4}{1 + 4x^3}\right)$ in terms of $g(x)$.
**A)** $2g(x)$
**B)** $3g(x)$
**C)** $4g(x)$
**D)** $\left[g(x)\right]^2$
**E)** $[g(x)]^4 - g(x)$

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