
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 $f(x)=ax+\frac{2a-1}{x}+1-3a (a > 0)$.
(I) When $a=1$, find the equation of the tangent line to the function $y=f(x)$ at the point $(2,f(2))$ (write in general form).
(II) If the inequality $f(x)\geqslant (1-a)\ln x$ holds for all $x\in[1,+\infty)$, find the range of values for the real number $a$.

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