Difference Between log and ln

The difference between log and ln is important to understand, as logarithms by themselves are important concepts that need to be studied and analyzed. The log number is simply defined as the method of obtaining the number which has its power to a base of 10. A natural logarithm can simply be referred to as the power to which the base ‘e’ that has to be raised to obtain a number called as its log number. It was initially discovered in the 17th century by John Napier, who discovered and conceptualized the theory of logarithms.

Difference between log and ln

One must know the difference between log and ln, to solve logarithmic problems. Having a key understanding of the Exponential function can also prove beneficial to understanding different concepts. Some of the key differences between the two is listed below:

Difference between log and ln

Log

ln

Log refers to a logarithm with the base 10

Ln refers to a logarithm to the base e

This is also called as a common logarithm.

This is also called as a natural logarithm.

It is more widely used in physics when compared to ln.

As logarithms are usually taken to base in physics, ln is used much lesser.

Mathematically it is represented as log base 10

Mathematically this is represented as log base e

Thus, this represents the key differences between log and ln. It is important to know these key differences. If you liked this article and would like to read more download the BYJU’s app today! You may also want to check out our related articles below:

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Practise This Question

If f(x) , g(x) and h(x) are three differentiable functions throughout their domains and given that their first derivatives are -

f(x)<0 

g(x)=0

h(x)0

throughout their domains. Then choose the correct option of monotonically decreasing functions -