
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 the value of \(x\) if \(4^{x+3} = 320 - 4^x\).
A) \(x = \frac{1}{3}\log_{10}\left(\frac{64}{65}\right)\)
B) \(x = \frac{\log_{10}\left(\frac{64}{13}\right)}{\log_{10}(4)}\) 
C) \(x = \frac{\log_2(64) - \log_2(13)}{\log_2(4)}\)
D) \(x = \log_{10}(64) - \log_{10}(13)\)

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