Given the exponential function , and when , find the value of . The value of is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve for the initial value in an exponential function given a specific value of and .
Key Concept Explanation
The core expression of an exponential function is (b > 0; b ≠ 1), where is the initial value, is the base, and is the independent variable. To find , we substitute the given values of and into the equation and solve for .
Step-by-step Solution
1. Substitute and
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