
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 $f(x)= \frac {-3^{x}+a}{3^{x+1}+b}$.
(1) When $a=b=1$, find the value(s) of $x$ that satisfy $f(x)=3^{x}$.
(2) If function $f(x)$ is an odd function defined on $\mathbb{R}$ and there exists $t\in \mathbb{R}$ such that the inequality $f(t^{2}-2t) < f(2t^{2}-k)$ has a solution, find the range of $k$.

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