
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 $\log_{10}2=a$ and $\log_{10}3=b$, then find $\log_{7}18$.
**A)** $\frac{a + 2b}{\log_{10}3}$
**B)** $\frac{2a + b}{\log_{10}7}$
**C)** $\frac{a + 2b}{\log_{10}7}$
**D)** $\frac{2a + 2b}{\log_{10}6}$
**E)** $\frac{a + b}{\log_{10}7}$

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