
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) Given $\log_{2}(16-2^{x})=x$, find the value of $x$.
(2) Calculate: $\left(- \dfrac {1}{ \sqrt {5}- \sqrt {3}}\right)^{0}+81^{0.75}- \sqrt {(-3)^{2}}\times 8^{ \frac {2}{3}}+\log_{5}7 \cdot \log_{7}25$.

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