Logarithms 1

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You've probably already noticed a relationship between the number of hours and the number of bacteria, once you put it into scientific notation.

hour
number of bacteria
in scientific notation
0
1
100
1
10
101
2
100
102
3
1000
103
4
10,000
104
5
100,000
105
6
1,000,000
106

Making a graph 106 units high is a real pain.

But since what's changing as these bacteria multiply is the exponent -- the power to which 10 is raised -- why not graph the hour against that number? Then you'd only need a graph 6 units high!

If you decided to do this, how would you label your graph? You can use the word 'logarithm.' It means the exponent to which 10 has been raised.

 

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