
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 proposition $p$: The function $f(x)=\log _{a}|x|$ is monotonically increasing on $(0,+\infty)$; and proposition $q$: The equation $x^{2}+2x+\log _{a} \frac {3}{2}=0$ with respect to $x$ has only one subset of solutions. If "$p\vee q$" is true and "$p\wedge q$" is false, find the range of values for the real number $a$.

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