
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 $f(x)= \frac {a}{x}+\ln x-1$.  
$(1)$ When $a=2$, find the equation of the tangent line to $f(x)$ at $(1,f(1))$.  
$(2)$ If $a > 0$, and for $x\in(0,+\infty)$, $f(x) > 0$ always holds, find the range of the real number $a$.

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