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.

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

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

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**Answer :**4

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

**Answer :**4

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