
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
Define a function $g(x),$ for positive integer values of $x,$ by 
\[
g(x) = \left\{
\begin{aligned} 
\log_3 x & \quad \text{if } \log_3 x \text{is an integer} \\
1 + g(x + 1) & \quad \text{otherwise}. 
\end{aligned} 
\right.
\]
Compute $g(50)$.

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