
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
The graphs of $y=\log_2 x, y=\log_x 2, y=\log_\frac{1}{2} x,$ and $y=\log_x \dfrac{1}{2}$ are plotted on the same set of axes. How many points in the plane with positive $x$-coordinates lie on two or more of these graphs?
A) 2
B) 3
C) 4
D) 5

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