
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 that the function $f(x)=ax^{2}+ \frac{2}{x}$ (where $a\in R$) is an odd function.
1. Compare the sizes of $f(\log _{2}3)$, $f(\log _{3}8)$, and $f(\log _{3}26)$, and explain the reasons (Hint: $\log _{2}3\approx1.59$);
2. If $t > 0$, and $f(t+x^{2})+f(1-x-x^{2}-2^{x}) > 0$ holds true for $x\in[2,3]$, find the range of values for the real number $t$.

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