Logarithm
Definition of Logarithm
 For any , if , then logarithm of ‘r’ to base ‘q’ is ‘p’ and it can be written as . Log is the abbreviation for Logarithm.
Examples of Logarithm
More about Logarithm

Common Logarithms: Logarithms that use 10 as the base are called common logarithms.

Natural Logarithms: Logarithms with base ‘e’ are called common logarithms and it is written as y = ln x.

Logarithmic Function: The inverse of exponential function is known as a logarithmic function.

Logarithmic Equation: An equation containing one or more logarithms is called a logarithmic equation.
Solved Example on Logarithm
Which one of the following expresses in logarithmic form?
Choices:
A.
B.
C.
D.
Correct Answer: C
Solution:
Step 1: For any , if , then logarithm of ‘r’ to base ‘q’ is ‘p’ and it can be written as .
Step2: From the definition, can be expressed in the logarithmic form as .
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