## Introduction

Logarithm contributes in advance science and astronomy as it helps in surveying, celestial navigation and other domains. Pierre Simon Laplace called logarithm. Tables of logarithms enable it for practical use.

The first such table was compiled by Henry Briggs in 1617, after Napier's Invention. Find complete tutorial of logarithm to learn its formulas, equations and calculations.

## What is Logarithm?

The logarithm is the inverse of the exponent function. By inverse, it means a function that does the opposite of the exponent function.

Consider an examples like subtraction is the inverse of addition and division is the inverse of multiplication. Where exponent means to multiply a number "x" times like 2x and multiply them together.

Click on to learn what is standard deviation? and how to solve quadratic equations?

## Log Function using actual numbers

Logarithm identify the ways to repeatedly multiply the base for getting number. For example, log2 (x) counts how many 2s would need to be multiplied to make x.

24 = 16

Log2 (16) = 4

Both deals with this series of multiplication 2x2x2x2

The exponent takes the count and multiples to make a number. Logarithms take the final number and determine the count of multiplication. The log function is all about repetition of numbers.

After getting the logarithm of actual number you can use trapezoid area calculator and arc length calculator for calculating area of actual numbers.

## Common Factors in Exponents and Logarithms

Exponents and logarithms deal with the "base". The "base" of the exponent is same as the base of the logarithm. Base is vertically the lowest number to write in both cases.

Such as 4x and log4 (x) are both base 4 and these bases are directly connected

If 4x = y then log4 (y) = x

Find our factor calculator and gcf calculator if you are new to factorization and its calculations.

## Logarithm Rules

Logarithm rules determines the relationship between natural log and exponential function.

S eln c = c ...... 1

By combining the values of "c", we get

Ln (ek) = k ..... 2

These equations explains that ex and lnx are inverse functions. Let's drive the rules of logarithms based on equation.

### Rule #1: Product Rule

ln (xy) = ln(x)+ln(y)

### Rule #2: Quotient Rule

ln (x/y) = ln(x)−ln(y)

### Rule #3: Log of Power

ln (xy) = yln(x)

### Rule #4: Log of e

ln (e) = 1

### Rule #5: Log of One

ln (1) = 0

### Rule #6: Log of Reciprocal

ln (1/x) = − ln(x)

Learn about other important rules for calculating limit functions and calculation of cross product.

## Applications of Logarithms

Logarithm applications can be found inside and outside the mathematics. The logarithms are used in

- Logarithmic Scale
- Fractals
- 2 Digit Expense Calculation
- Finding Order of Magnitude
- Calculating Interest Rates
- Logarithmic Graphs

For calculating inverse or antilogarithm, use our antilog calculator for free.

## What is a Log Calculator?

Just like other math concepts, calculations of logarithm needs time and practice. Calculatored has developed this log calculator which is fast, accurate and free to use. The natural logarithm calculator helps you finding logs of different numbers.

## How to use Log Calculator?

The log calculator is very simple and easy to use. You don't need to be a master to use it. Follow below steps to get log value of your desired digits

Step #1: Enter numeric values in Log calculator.

Step #2: Select between the base of 2, e and 10.

Step #3: Click on the "CALCULATE" button.

You will get the results right after clicking on the calculate button. This makes our log calculator also one of the fastest among those you find online.

We hope you get maximum knowledge and help from our log calculator. We also has integral calculator and derivative calculator which are very effective for practice and learning.