What is the value of that makes the statement true: The graph of passes through the point .
Answer & Analysis
Analysis
Question Analysis
This question involves finding the input (x-value) of a logarithmic function given its output (y-value).
The main focus is on converting a logarithmic equation to its exponential form to solve for .
Key Concept Explanation
The logarithmic function is the inverse of the exponential function . This means:
If , then (this is the exponential form of a logarithm).
For a point on the graph of , , so .
Step-by-Step Solution
1. The point lies on , so substitute and into :
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