
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
If \(5 = k \cdot 2^r\) and \(45 = k \cdot 8^r\), then \(r =\)
A) \( \frac{1}{2} \log_2 3 \)  
B) \( \log_2 3 \)  
C) \( \frac{1}{2} \log_2 9 \)   
D) \( \log_2 9 \)  
E) \( \frac{3}{2} \log_2 3 \)

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