Properties of Logarithms Interactive Demo

This GeoGebra example provides an interactive demonstration of the fundamental properties of logarithms, including the product rule (log_b(xy) = log_b(x) + log_b(y)), the quotient rule (log_b(x/y) = log_b(x) - log_b(y)), and the power rule (log_b(x^p) = p * log_b(x)). It visually reinforces the relationship between logarithmic and exponential forms. The construction uses commands such as Join, RandomElement, Textfield, If, and FractionText to generate random practice problems, with an input box (inputBox1) and a button (button1_1) for user interaction. Multiple text objects (text1 through text10) display the questions and feedback, while variables like base and inc control the base and increments. This resource is suitable for high school or introductory college students learning logarithmic rules, and can be used for self-study or classroom demonstration.