
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 $\log_{10} 2 = a$ and $\log_{10} 5 = c$, find $\log_{4} 30$.
A) $\frac{a + c}{2a}$
B) $\frac{a + d + c}{2a}$
C) $\frac{2a + d + c}{a}$
D) $\frac{a + 2d + c}{2a}$

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