Number Power of 10
1000 103
100 102
10 101
1 0
0.1 10-1
0.01 10-2
0.001 10-3
The table above shows that 1000 is to the power 0f 3, thus the logarithms 0f 1000 to base 10 is 3. In this case, the logarithms of a number is the power to which 10 is raised to give that number. Thus a logarithm is another word for power or index.
Logarithms can be found in other bases apart from base 10
For example, since 32 = 25, then log232 = 5 i.e log of 32 to base 2 is 5. In general, if y = nX, then x =logny
For logarithms to base 10, the following table can be stated:
Power (indices) logarithms (indices)
1000 = 103 log 1000 =3
100 = 102 log 100 =2
10 = 101 log10 = 1
1 = 100 log 1 =0
Thus, a statement written in index form can be changed to a logarithm form and vice versa.
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