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Logarithm Calculator
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Logarithm Calculator (or Log Calculator) helps you to find the logarithm (log) of given number. If $a = h^{x}$, then x is the logarithm of a to the base h.

By definition we can say that, Logarithm of a given number is the exponent through which a number, the base, need to be calculated to get that number.

For example logarithm of 16 is 4 for the base 2, because $16 = 2^{4}$.

Below is given a default number, click "Submit". The number is written as exponential expression with base. The exponent of the number is the logarithm of the number.

Steps for finding Logarithm

Step 1 :

observe the given number, write the given number with an exponent for a base, through which you should get the given number.

Step 2 :

Now the exponent is the logarithm of the given number to the base on which you used.

Examples on Logarithm Calculator

1. What is the logarithm of 16

Step 1 :

The given number 16 can be written as

16=2^4 here base =2 and exponent is 4

Step 2 :

So the logarithm of 16 is 4 for the base 2

4

2. What is the logarithm of 10000

Step 1 :

The given number 10000 can be written as

10000=10^4 here base=10 and exponent=4

Step 2 :

So the logarithm of 10000 is 4 for the base 10