
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
Toss two fair cubic dice in succession (their six faces are marked with the numbers 1, 2, 3, 4, 5, 6, respectively), and let the numbers on the faces facing up be $x$ and $y$, respectively. The probability that $\log_{2x}y = 1$ is _____

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