
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 $$f(x)= \frac {4^{x}+1}{2^{ax}}(a\in R)$$ is an even function, and $g(x)=t\cdot2^{x}+4$,  
(1) Find the value of $a$;  
(2) When $t=-2$, find the solution set for $f(x)<g(x)$;  
(3) If the graph of $f(x)$ is always above the graph of $g(x)$, find the range of the real number $t$.

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