Logarithms: Change of Base
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This example illustrates the change of base formula for logarithms. Key mathematical concepts include logarithms and the change of base rule. Using GeoGebra commands like animate and button1, it demonstrates the variation of logarithmic values with different bases. Suitable for high school math education, aiding students in understanding the basic properties and change of base formula of logarithms.
GeoGebra Commands & Parameters
Numeric b(0.0)f(x) = log(b, x)Numeric green(1.0)g(x) = log(ℯ, x)Boolean a(true)Boolean animate(true)
AI Drawing Prompt Reference
Draw a logarithmic function f(x) = log(b, x) with base b, and a natural logarithmic function g(x) = log(e, x) in green. Use a slider to adjust the value of b and observe the changes in the logarithmic function. Enable the animate button to dynamically show the variation of logarithmic values with different bases.
The prompt above was compiled from the original drawing commands and is for reference only.