Education Technology

Change Of Base

Published on 01/24/2012

Activity Overview

Discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.

Key Steps

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    In Problem 1, students use the program DIFFBASE to compare the graphs of two logarithmic functions with different bases.

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    In Problem 2, students investigate the value of c, a constant factor, as the values of the bases of the logarithmic functions change.

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    Students can then use the values of the bases and c stored in a table, to guess a formula for calculating c.