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Basic Properties of Logarithms

Basic Properties of Logarithms
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2020-10-18 01:31
Coordinate GeometryCalculus
This example demonstrates the basic properties of logarithms, including the definition of logarithms, the addition rule, and the multiplication rule. By adjusting variables, you can observe the changes in logarithmic properties. This example uses text1, A, B, b, c, d, e, f, a, text3, g, h, text5, i, text7, j, k, text8, l, text9, text4, text2, text6 GeoGebra objects and commands. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric A(2)
  2. Numeric B(5)
  3. (A * B)
  4. lg(b)
  5. ln(A)
  6. lg(B)
  7. lg(A)
  8. lg(A)
  9. A / B
  10. lg(g)
  11. a - e
  12. A^(B)
  13. lg(j)
  14. (B * lg(A))

AI Drawing Prompt Reference

Create a single math canvas that demonstrates basic logarithm properties. First introduce two fixed numeric parameters and display their combined relationships such as multiplication. Then include labeled expressions for common logarithms (base 10) and the natural logarithm (base e), showing logarithm evaluations at the chosen parameters. Present the key rules by displaying equalities that relate addition/subtraction of logarithms to multiplication/division-type expressions and include one power-related expression showing how exponentiation corresponds to logarithms. Arrange the content in a clear construction order: parameters first, then individual log values, and finally the combined rule statements using the displayed numeric relationships and text annotations.
The prompt above was compiled from the original drawing commands and is for reference only.