
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 $a\in R$, the function $f(x)=\log _{2}( \frac {1}{x}+a)$.
(1) Find the range of values of the real number $a$ if $f(1) < 2$;
(2) Consider the function $g(x)=f(x)-\log _{2}[(a-4)x+2a-5]$, discuss the number of zeros of the function $g(x)$.

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