
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
Let $f(x)$ be a function defined on $\mathbb{R}$ with a period of $2$ and is odd. When $0 \leqslant x \leqslant 1$, $f(x) = \log_2(4x + 1)$. Determine the value of $f(\frac{13}{4})$.

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