
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
According to the strategic guidelines for building socialism with Chinese characteristics, the total output value of industry and agriculture in our country is expected to double over 20 years from 1980 to 2000. What is the minimum average annual growth rate required?

($\log2=0.3010$, $\log3=0.4771$, $\log1.072=0.0305$)

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