
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
Find such natural values of \(x\) that satisfy the following equalities:
1) \(2^{x-5}=2\)
2) \(2^{x}=512\)
3) \(x^{5}=243\)
4) \(x^{4}=625\).

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