
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
Calculate the number of distinct logarithm values obtained by selecting any two different numbers to serve as the base and the argument (referred to as the true number in the Chinese version) of a logarithm from the set \{1, 2, 3, 4, 9, 18\}.

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