![]() Thus, it is equivalent to a plot of log y against log x using arithmetic coordinates. Label the graph so that it is legible and attractive.Ĥ LOG-LOG GRAPHS A log-log graph has logarithmic coordinates along both axes. Display the data to three-decimal precision using arithmetic coordinates. Prepare an x-y graph of the voltage as the time varies from 0 to 10 seconds. The voltage drop across a capacitor varies with time in accordance with the formula □ = 10 □ −0.5□ where V represents voltage drop, in volts, and t represents time, in seconds. You need not calculate the log of x (or the log of y)-the logarithmic scale automatically does this for you.ģ Example 5.4 Creating a Semi-Log Graph in ExcelĬonvert the arithmetic x-y graph developed in Example 5.1 and shown in Fig into a semi-log graph. Note that you simply plot the value of x (or y) directly when plotting data on a logarithmic scale. Thus, we see that plotting x (or y) on a logarithmic scale is equivalent to plotting log x (or log y) on an arithmetic scale. Similarly, the location of 2 on the logarithmic scale is equivalent to the location of log 2 on the arithmetic scale (because log 2 = 0.30), and so on. Also, note that the location of 1 on the logarithmic scale is equivalent to the location of log 1 on the arithmetic scale (because log 1 = 0, as shown on the arithmetic scale). Semi-log graphs are commonly used in many diverse fields, including engineering, chemistry, physics, biology, and economics.Ģ SEMI-LOG GRAPHS Note the nonuniform spacing of the units along the logarithmic scale. Presentation on theme: "SEMI-LOG GRAPHS A graph in which the y-axis (the ordinate) has a logarithmic scale and the x-axis (the abscissa) has an arithmetic scale is known as a."- Presentation transcript:ġ SEMI-LOG GRAPHS A graph in which the y-axis (the ordinate) has a logarithmic scale and the x-axis (the abscissa) has an arithmetic scale is known as a semi-log graph. ![]()
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