
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
For how many positive integers $x$ is $\log_{10}(x-50) + \log_{10}(70-x) < 2.3$?
A) 8  
B) 9  
C) 10  
D) 18  
E) 19

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