How to draw logarithmic function images on geometric sketchpad

How to draw the image of logarithmic function in Geometric Sketchpad? In mathematics teaching, drawing the graph of a logarithmic function is a common and important task. As a powerful drawing software, Geometric Sketchpad provides a convenient and efficient drawing method. This article will introduce in detail the steps of drawing logarithmic function images with geometric sketchpad, including drawing linear logarithmic functions and exponential logarithmic functions. By mastering these operating methods, readers can quickly and easily draw accurate logarithmic function graphs.

Method 1 Use the base-changing formula

Execute the [Draw] command, enter logx/log4 in the pop-up dialog box, and click [Confirm]. Among them, log is entered by clicking [Function], x and 4 are entered by clicking numbers, and [/] is [÷].

Method 2 Use the inverse function method

to define the coordinate system. Open the geometric sketchpad, click the [Draw] menu above, and select the [Define Coordinate System] command from its drop-down menu to establish a Cartesian coordinate system.

Find the inverse function. Execute the [Draw] - [Draw New Function] command, click the [Equation] button in the pop-up dialog box, and select [x=f(y)] from the pop-up drop-down option.

Draw function graph. y is equal to the logarithm of log x with base 4. In the Draw New Function dialog box, enter [4, ^, y] and click OK to draw the logarithmic function image x=4^y.

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