Logarithms 1

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Instead of having to deal with a graph 1,000,000 units high, you can just graph the logarithm of the number of bacteria and make a nice little graph.

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

Let's review the rules about logarithms.

The logarithm of a number is the power to which 10 is raised to get that number.

So what would be the logarithm of 1,000,000,000?

First, convert it into scientific notation: 109

Now it's simple; the exponent, 9, is the logarithm of the number.

 

 

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