
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
Given the function $f(x)= \dfrac {1}{x\ln x}(x > 0\text{ and }x\neq 1)$,
(1) Find the monotonic intervals of the function $f(x)$;
(2) Given that $\dfrac {1}{x}\ln 2 > a\ln x$ holds for any $x∈(0,1)$, find the range of the real number $a$.

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