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Logarithmic Functions: log(x) vs. log(x^2)

Logarithmic Functions: log(x) vs. log(x^2)
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2014-03-27 17:15
FunctionCoordinate GeometryGraphing
This example demonstrates the graphs of logarithmic functions log(x) and log(x^2). Key mathematical concepts include logarithmic functions and their properties. Using GeoGebra commands such as If, Point, f, g, etc., the graphs of these functions are constructed. Suitable for high school mathematics education to help students understand the characteristics of logarithmic functions.

GeoGebra Commands & Parameters

  1. If(bb, -1, 1) → k_1
  2. If(bb, log(0.1, x), lg(x)) → p
  3. If(bb, log(1 / ℯ, x), log(x)) → h
  4. If(bb, logText, lnText) → text8
  5. If(a ≠ 2, b, 2.71828) → base01
  6. Point(f) → C

AI Drawing Prompt Reference

Draw the graphs of the logarithmic functions y = log(x) and y = log(x^2). First, draw y = log(x), then draw y = log(x^2) to observe their relationship. Use point C to represent a point on the graph of y = log(x).
The prompt above was compiled from the original drawing commands and is for reference only.