
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
Using $\log_{10}2 = a$ and $\log_{10}3 = b$, find the value of $\log_{5}18$.
**A)** $\frac{2a+b}{1-a}$
**B)** $\frac{a+2b}{1+a}$
**C)** $\frac{a+2b}{1-a}$
**D)** $\frac{2a+b}{a+1}$

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