
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 $f(x)=\ln x- \frac {a}{x}$, $g(x)=f(x)+ax-6\ln x$, where $a\in\mathbb{R}$.  
(Ⅰ) Discuss the monotonicity of the function $f(x)$;  
(Ⅱ) If $g(x)$ is an increasing function in its domain, find the range of values for the positive real number $a$.

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