
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) Calculate $$\left( \frac {1}{8} \right)^{- \frac {1}{3}}+(\log_5)^{0}+\log_5+\log_2$$  
(2) Given that $\sin\alpha=2\cos\alpha$, find the value of $$\frac {2\sin\alpha-3\cos\alpha}{4\sin\alpha -9\cos\alpha }$$.

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