9th Class Mathematics Related to Competitive Exam Introduction

         Introduction

In the previous classes we have studied that whenever a number is raised to certain power, than we write it in exponential from which tells us that how many times the number appearing in the base is being multiplied by itself and the number of times is being indicated by exponent.

Logarithms are mathematical statement which is used to answer a slightly different question for exponents whose base is a positive real number. This if a is a positive real number other than 1 and \[{{a}^{x}}=n\], then \[x\] is called the logarithm of n to the base a, and the equation may be written as \[x=\log _{a}^{n}\].  

Note: If no base is mentioned in a logarithm then it is taken as Logarithms to the base 10 are known as common logarithms.