
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

Solve the following equation and system of equations:

$$
x^{x^{\sqrt{x}}}=x^{\sqrt{x^{x}}}
$$

$$
\begin{array}{r}
y = m x \\
\log_b y = m \cdot \log_b x
\end{array}
$$

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