
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
1. Simplify and evaluate: (log$_{3}$2+1og$_{9}$2)(log$_{4}$3+1og$_{8}$3)+2$$^{log_{2}5}$$;
2. Given that x-x$^{-1}$\=-\ $\frac {7}{2}$, find the value of x$^{3}$-x$^{-3}$.

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