
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
Calculate the value of the following expressions:

1. Given $5^{x}=3^{y}=45$, find the value of $\frac{1}{x}+\frac{2}{y}$;
2. $(\log_{3}8+\log_{9}4)(\log_{4}27+\log_{8}9)$.

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