# Logarithm Log Calculator

## Logarithm Log Calculation

Example: Loge(10)
Also try: Anti Log Calculator
 Result: Logarithm Value =

Log Calculator is an online math tool used to calculate the Log value for the given Logarithm number with respect to the given or natural base values. No need to carry log tables anymore, user may perform quick computations to find the logarithm of a number. Taking anti-log for a logarithm number provides the initial value of the number.

## How to find Logarithm of a number

The logarithm of a number to a given base is the exponent by which the base has to be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the power 3, 1000 = 103 = 10x10x10. More generally, if x = by, then y is the logarithm of x to base b, and is written logb(x), so log10(1000) = 3

### More examples for Log Calculation

The below are the logarithm examples to understand the how to find logrithm of numbers.

y = 1000 => y = 103 => Log 1000 = 3

y = 100 => y = 102 => Log 100 = 2

y = 10 => y = 101 => Log 10 = 1

y = 1 => y = 100 => Log 1 = 0

y = 0.1 => y = 10-1 => Log 0.1 = - 1

y = 0.01 => y = 10-2 => Log 0.01 = - 2

y = 0.001 => y = 10-3 => Log 0.001 = - 3

The above example illustrates several properties of logarithms. Numbers greater than 1 have positive logarithms; numbers less than one but greater than zero have negative logarithms. Logarithms do not exist for zero or negative numbers, because you cannot raise 10 to any power such that the result will be zero or a negative number. The above examples & formulas may useful to to know how to take logarithm for a number, however, when it comes to quick calculations, this math log calculator help users to perform such computations as quick as possible.

 Similar Resource Logarithm Rules | Properties Logarithm Examples and Practice Problems

Related Calculators
 Anti-Log Logarithm Calculator Binary to Decimal, Hexa, Octal Converter Decimal to Binary, Hexa, Octal Converter Hexa to Decimal, Binary, Octal Converter Octal to Binary, Hexa, Decimal Converter GCD or HCF Calculator
Related Calculators
 LCM Calculator Number to Word Converter Percentage Calculator Prime Number Calculator Pythagoras Theorem Calculator Square Root Calculator