
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 sequence  $a_1,a_2,\dots,a_{13}$  is a geometric sequence with  $a_1=a$  and common ratio  $r$ , where  $a$  and  $r$  are positive integers. Given that  $$ \log_{2015}a_1+\log_{2015}a_2+\dots+\log_{2015}a_{13}=2015, $$  find the number of possible ordered pairs  $(a,r)$ .

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