In Problem 1, students investigate the power property of logarithms. Students use Lists to calculate the value of b = a2 for positive integral values of a.
Next, students define two new variables x = log a and y = log b and enter them into lists. Graphing this data in a scatter plot, students can use the LinReg command to determine that the graph of log a2 resembles the linear equation y = 2x. Rewriting this as a logarithmic equation, students obtain log a2 = 2 log a, revealing the Power Property of Logarithms.