
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
The difference of logarithms of two consecutive natural numbers decreases as the numbers increase. Verify this using a table and provide a mathematical justification for why this should be the case. Explain how it is possible, contrary to the general rule, that there are points in the tables where the difference does not decrease.

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