
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
Among the following propositions:  
\\(①\\) If \\(\log_{a}3 > \log_{b}3\\), then \\(a > b\\);  
\\(②\\) The range of the function \\(f(x)=x^{2}-2x+3\\), \\(x∈[0,+∞)\\), is \\([2,+∞)\\);  
\\(③\\) Let \\(g(x)\\) be a continuous function defined on the interval \\([a,b]\\). If \\(g(a)=g(b) > 0\\), then the function \\(g(x)\\) has no zeros;  
\\(④\\) The function \\(h(x)= \dfrac{1-e^{2x}}{e^{x}}\\) is both an odd function and a decreasing function.  
The correct propositions are \_\_\_\_\_\_.

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