
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
Determine $x$ if $16^{x+2} = 80 + 64 \cdot 16^x$.
**A** $0.25 \log_2{\left(\frac{5}{12}\right)}$  
**B** $0.20 \log_2{\left(\frac{5}{12}\right)}$  
**C** $0.30 \log_2{\left(\frac{5}{12}\right)}$  
**D** $0.40 \log_2{\left(\frac{5}{12}\right)}$

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