# Log Formula - Rules to Solve The Logarithm Equations with Examples

## Introduction

In this article, you will learn what is logarithm. You will also understand how to solve logarithmic equations.

## What is Logarithm?

The logarithm is used to find the inverse of exponential and multi-valued functions. It is an exponent to which a base must be raised to obtain the required number. It helps to solve many physical phenomena.

The log and anti log are widely used in mathematical analysis to solve different problems. The log of a number has two parts, the mantissa and the characteristic part.

### Mantissa

It is the decimal portion of a natural logarithm formula. It is always positive; if it is not positive, we must convert it into a positive number.

### Characteristic

It is the entire portion of a number before the decimal point. If it is less than one, the characteristic is negative, and the zeros are written before the decimal. The number of zeros is written on the right side if it is more significant than one.

## Log Formula

The log formula is the exponential form of a number. Mathematically, if x is the logarithm of n to the base b, we can write it as:

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Last updated: July 07, 2023