Algebra-2

Question Analysis
This question involves finding the input value (x) of the logarithmic function when the output value (f(x)) is given as 3.
The main focus is on using the inverse relationship between logarithmic and exponential functions to solve for x.

Key Concept Explanation
For any logarithmic function , the logarithmic form is equivalent to the exponential form . This inverse relationship is the foundation for solving for the input (x) when the output (y) is known. Here, with base and output , we can use this equivalence to find x by calculating .

Step-by-Step Solution
1. Identify the given information: The function is , and .
2. Set up the logarithmic equation: Substitute into the function, so .
3. Convert to exponential form using

Click "Show Answer" to reveal the answer and analysis