Solving the logarithmic inequality ln(2x)<ln(x+2)

This example demonstrates the solution process for the logarithmic inequality ln(2x)<ln(x+2). It involves core mathematical concepts such as the properties of logarithmic functions, methods for solving inequalities, and finding intersection points of functions. The construction uses GeoGebra objects f, g, a to represent functions and parameters, plotting graphs and identifying intersection points to determine the solution set of the inequality. Suitable for high school students learning about functions and inequalities.