## Introduction to Log Calculator

Logarithm contributes in advance science and astronomy as it helps in surveying, celestial navigation and other domains. Pierre Simon Laplace called logarithm. Log calculator is an online tool from which you can take logarithm of any value easily. Logarithm calculator offers a digital way of calculating over manual calculations.

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 performed by logarithm calculator.

## 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. Product rule of logarithms calculator with its fast calculations makes it easy for you to work quickly.

Click on to find standard deviation calculator and quadratic equation calculator.

## Log Function of Logarithm Calculator

Logarithm identify the ways to repeatedly multiply the base for getting number. Log properties calculator uses the log functions to compute results. 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 multiplies to make a number. Logarithms take the final number and determine the count of multiplication. The log function is all about repetition of numbers and using logarithmic calculator makes it easy to understand this concept.

After getting the logarithm of actual number you can use area of a trapezoid calculator and arc length calculator in terms of pi 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. Product rule of logarithms calculator calculates this also while computing. 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

In order to avoid the problems you can find the numerical value of the log expression calculator as it deals with different things efficiently.

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

## Logarithm Rules used by Log Calculator

Product rule of logarithms calculator uses logarithm rules to get results. 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)

Product rule makes it easy for the product rule of logarithms calculator to calculate the sum of the log of its factors.

### Rule #2: Quotient Rule

ln (x/y) = ln(x)−ln(y)

With using quotient rule, the log properties calculator can identify whether the quotient is equal to the difference of log.

### Rule #3: Log of Power

ln (xy) = yln(x)

By using the log of power, the properties of logarithms calculator makes sure that the product of number and logs are written as power.

### 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)

Logarithm calculator uses log of reciprocal to substitute the value to the log of power rule.

Learn about other important rules for calculating limit functions and the 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

Since there are a lot of applications of the logarithm, using an logarithmic properties calculator becomes handy to save time and increase efficiency.

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

## What is a Log Calculator?

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

## 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 logarithmic calculator.

Step #2: Select between the base of 2, e and 10 from the left side of the log equation calculator.

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 properties calculator. We also have integral calculator and derivative calculator which are very effective for practice and learning online.