Using Graphs and Logarithms to Solve Problems (Part 2)

This example demonstrates how to use function graphs together with logarithmic relationships to solve problems in a structured, visually interpretable way. It focuses on the key ideas behind log functions—such as domain restrictions, monotonic behavior, and log identities (e.g., change of base)—and on extracting solution information from graphs, especially by locating intersections and reading corresponding coordinates. The original GeoGebra “construction summary” is not provided, so the typical construction workflow is to define a logarithmic function, plot its graph, and then use graphing tools (like intersection/point readouts) to match the math question’s unknowns and to verify algebraic results. It is well-suited for high school advanced learners and early undergraduates studying functions, logarithms, and graph-based problem solving.