Logarithmic Inequalities: Dynamic Solving and Graphical Visualization

This GeoGebra example demonstrates the solving of logarithmic inequalities through an interactive interface, combining algebraic expressions with function graphs to visually represent solution sets on a number line. Core mathematical concepts include properties of logarithmic functions, inequality solving, interval notation, and the correspondence between function graphs and number lines. Construction highlights: Textfield and InputBox objects allow users to input parameters a and b; log1 and related objects plot the logarithmic function; xvece and xmanje mark solution intervals; arrows (strelical, strelicad) and text labels (textavece, textamanje) indicate direction; background objects (pozadina1, pozadina2) organize layout; grom objects may serve as emphasis or decoration. Suitable for high school or pre-university students learning logarithmic inequalities, helping them explore how changing the base affects inequality direction and solution sets dynamically.