Graphs of Logarithmic Functions with Different Bases

① This GeoGebra example demonstrates the graphs of logarithmic functions with varying bases, showing how the curve's shape and position change as the base value is adjusted. ② Core mathematical concepts include the definition of logarithmic functions, the effect of the base on monotonicity and vertical asymptote, the symmetry between logarithmic and exponential graphs, and parameter-driven transformations. ③ Construction details: The example uses GeoGebra commands such as Vector for constructing auxiliary vectors and Text for labeling; objects include functions f, g, h, points A, A1, A2, A3, B1, B2, B3, and variables a, b, c, u, v, w, z, allowing dynamic adjustment of bases via sliders or input fields. ④ Suitable for high school or introductory college students learning properties of logarithmic functions, and useful for classroom demonstrations or self-guided exploration of how base changes affect the graph.