
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
Let the function $f(x)=\ln x+x^{2}-ax$ ($a\in\mathbb{R}$).  
(I) Given that the function is increasing in its domain, find the range of values for $a$;  
(II) Let $g(x)=f(x)+2\ln \frac {ax+2}{6 \sqrt {x}}$, for any $a\in(2,4)$, there always exists $x\in\left[ \frac {3}{2},2\right]$ such that $g(x) > k(4-a^{2})$ holds, find the range of values for the real number $k$.

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