
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
In the 18th century, Swiss mathematician Euler pointed out that exponents are derived from logarithms and discovered the relationship between logarithms and exponents, that is, when $a \gt 0$, $a\neq 1$, $a^{b}=N\Leftrightarrow b=\log _{a}N$. Given $4^{x}=6$, $9^{y}=6$. Find $\frac{1}{x}+\frac{1}{y}$.

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