
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
A right rectangular prism has edge lengths \(\log_{5}x\), \(\log_{6}x\), and \(\log_{15}x\). If the ratio of the surface area to the volume of the prism is \(10\), what is the value of \(x\)?
A) \(\sqrt[5]{90}\)
B) \(\sqrt[4]{450}\)
C) \(\sqrt[5]{450}\)
D) \(\sqrt[5]{900}\)

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