Algebra-2

Question Analysis
This question involves finding the y-value of a point on the graph of when the x-value is a power of the logarithm’s base.
The main focus is on using the definition of logarithms to connect the x-value (a power of the base) to the y-value (the exponent).

Key Concept Explanation
For any logarithmic function :
If (where is a real number), then . This comes directly from the exponential form: is equivalent to .
When is a perfect power of the base (like ), the y-value is simply the exponent of that power—this makes it easy to identify key points on the graph.

Step-by-Step Solution
1. Identify the base of : .
2. The question gives ; check if 36 is a power of 6: , so .
3. Use the relationship

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