Texas Instruments
9-12
40 Minutes
TI-83 Plus Family,TI-84 Plus Family
TI Connect™
TI Connectivity Cable
Published on 01/24/2012
Discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.
In Problem 1, students use the program DIFFBASE to compare the graphs of two logarithmic functions with different bases.
In Problem 2, students investigate the value of c, a constant factor, as the values of the bases of the logarithmic functions change.
Students can then use the values of the bases and c stored in a table, to guess a formula for calculating c.