Let a
m = x. Then m = log
a x. (a = positive real number)
Let 2
6 = 64. Then 6 = log
2 64.
Logarithm is a kind of operation,
m is the number of times where base number
a is multiplied by itself to reach number
x.
| Properties of Logarithms |
Note |
| loga 1 = 0 |
log of 1 to any base is 0. |
| logx x = 0 |
log of any number to its own base is always 1. |
| log 100 = 2 |
default base is 10 known as common logarithm. |
| loga (xy) = loga x + loga y |
|
| loga (x/y) = loga x - loga y |
|
| loga xp = p loga x |
|
| loga x = 1/logx a = logb x / logb a |
|
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