Solution assignment 03 Logarithmic functions and graphs

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Assignment 3

Sketch the graphs of:

\log(x)

\log_5(x)

Solution

The graphs of these three logarithmic functions go through the point (1,0) and are defined for x>0. We notice that the ln function (in the graph denoted as \log(x)) increases the fastest when x increases, the logarithm with base 10 the least fast. The logarithm wit base 5 is just in between. Give an explanation for this.

ln en 10log en 5log

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