
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
After passing through $x$ glass panels, the intensity $y$ of the light is given by the equation $y=a \left(\frac{9}{10}\right)^x$. If the original light intensity is denoted by $a$ and the intensity after passing through $x$ such panels is $y$, find the number of panels the light needs to pass through such that its intensity is reduced to less than $\frac{1}{11}$ of the original intensity.

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