Log rule exponential:
If
then x is called the logarithm of y to base a
and written as
where a >0, a ≠ 1 and y >0
That is
The logarithms of a number y to the base’ a’ is the index of x
of the power to which a must be raised to get that number y.
The relation
and are equivalent.
When one relation is given, it can be converted into the other.
Thus log rule exponential
⇔ |
and are respectively exponential and logarithms form
of the same solution
Logarithms example: 1
Logarithms example: 2
Conversely, rule loge
Logarithm of a negative number is not fined at this stage.
Logarithm:
Logarithms are useful tools for accurate and rapid computations
Logarithms base 10
Logarithms base 10 are known as common logarithms
Natural logarithms
Logarithms with base e are called natural logarithms
Logarithms base always |
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