
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
Suppose that $\log_{10}(2m) = 5 - \log_{10}(2n)$. Find the value of $m$ in terms of $n$.
A) $m = \frac{10^5}{2n}$  
B) $m = \frac{25,000}{n}$  
C) $m = 50n$  
D) $m = \frac{10^5}{4n}$

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