
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
Given the equation \( P = \frac{s}{(1 + k)^n + c} \), find the expression for \( n \) in terms of \( s \), \( P \), \( k \), and \( c \).
**A)** \( \frac{\log{\left(\frac{s - c}{P}\right)}}{\log{(1 + k)}} \)
**B)** \( \frac{\log{\left(\frac{s}{P} - c\right)}}{\log{(1 + k)}} \)
**C)** \( \frac{\log{\left(s - \frac{P}{c}\right)}}{\log{(1 + k)}} \)
**D)** \( \frac{\log{\left(\frac{s}{P - c}\right)}}{\log{(1 + k)}} \)
**E)** \( \frac{\log{(s)}}{\log{(P(1 + k) + c)}} \)

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