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

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