Algebra-2

Question Analysis
This question involves finding the base of a logarithmic function given a point on its graph.The main focus is on using the relationship between logarithmic and exponential forms to solve for the unknown base b.

Key Concept Explanation
For a logarithmic function :
If the point lies on the graph, then .
By the definition of logarithms, this equation is equivalent to the exponential form .
To find b when x and y are known, solve by taking the y-th root of both sides (or raising both sides to the power of ).

Step-by-step Solution
1. The point is on , so substitute and into the logarithmic equation: .
2. Convert to exponential form using :