natural logarithm उदाहरण वाक्य

Graph of the natural logarithm function.
For example, the natural logarithm of 1.01 is 0.01 to an accuracy better than 5 parts per thousand.
A similarly simple transformation can be used if the common logarithm should be exchanged by the natural logarithm.
The surface area formula above gives a lower bound for the area as 2 times the natural logarithm of.
The first such distribution found is } }, where is the prime-counting function and is the natural logarithm of.

Since the difference between two natural logarithms is a dimensionless ratio, the trait may be measured in any unit.
Then the natural logarithm could be recognized as the inverse function to the transcendental function e " x ".
These properties can be manipulated after the taking of natural logarithms on both sides and before the preliminary differentiation.
For instance, the binary logarithm is the natural logarithm divided by ln ( 2 ), the natural logarithm of 2.
where \ ln & thinsp; \ Gamma ( n ) denotes the natural logarithm of the gamma function at n.