
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
Solve the inequality \(\frac{1}{3^{x}}\left(\frac{1}{3^{x}}-2\right)<15\).

(a) \(\left(-\frac{\log 5}{\log 3},+\infty\right)\)  
(b) \(\left(-\infty, \frac{\log 5}{\log 3}\right)\)  
(c) \(\left(\frac{\log 3}{\log 5}, 1\right)\)  
(d) \((\log 3, \log 5)\)

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