Question #6451904Fill in the Blank
Algebra-2
Question
The graph of passes through the point ______.
Answer & Analysis
Analysis
Question Analysis
This question involves identifying a key point on the graph of the logarithmic function .
The main focus is on using the definition of logarithms to find the y-value when the x-value is equal to the base of the logarithm.
Key Concept Explanation
For any logarithmic function (where , ):
When (the base of the logarithm), the value of the function is 1. This is because , which comes from the exponential form .
This point is a key feature of the logarithmic graph, as it helps anchor the shape of the curve.
Step-by-Step Solution
1. Identify the base of the given function : .
2. The question asks for the y-value when (which is equal to the base ).
3. Use the property : Substitute , so .
4. Therefore, when
This question involves identifying a key point on the graph of the logarithmic function .
The main focus is on using the definition of logarithms to find the y-value when the x-value is equal to the base of the logarithm.
Key Concept Explanation
For any logarithmic function (where , ):
When (the base of the logarithm), the value of the function is 1. This is because , which comes from the exponential form .
This point is a key feature of the logarithmic graph, as it helps anchor the shape of the curve.
Step-by-Step Solution
1. Identify the base of the given function : .
2. The question asks for the y-value when (which is equal to the base ).
3. Use the property : Substitute , so .
4. Therefore, when
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