
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
Given that the function $f(x)$ is an even function with the domain of $\mathbb{R}$, and $g(x) = f(x) + 2^x$, if $g(\log_2 7) = 3$, then determine the value of $g(\log_2 \frac{1}{7})$.

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