
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
Given $\log_{10}3=b$ and $\log_{10}5=c$, find $\log_{5}45$.
A) $\frac{b+c}{c}$
B) $\frac{2b+c}{b}$
C) $\frac{2b+c}{c}$
D) $\frac{2b+c}{1-c}$
E) $\frac{2b+c}{c+1}$

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