Algebra-2

Question Analysis
This question involves finding the x-value of a key point on the graph of when the y-value is 2.
The main focus is on converting the logarithmic equation to its exponential form to solve for the unknown x-value.

Key Concept Explanation
For any logarithmic function , the relationship between the logarithmic form and the exponential form is fundamental.
When given a y-value, we can find the corresponding x-value by raising the base to the power of the y-value. This x-value, paired with the given y-value, forms a point that lies on the graph of the logarithmic function.

Step-by-Step Solution
1. Identify the base of the function : .
2. The question provides the y-value as 2, so we set up the logarithmic equation: .
3. Convert the logarithmic equation to its exponential form using : Substitute and