Question

What is a logarithms and give atleast two examples of it.

Answer 1

Explanation:

Logarithm is basically the exponent - also called power - to which a base must be raised to produce a given number.

Mathematically, it can be displayed as:

`x` is the logarithm of
`n` to the base
`b`, if
`b^(x) = n`, in which case we write

`x=\log _b\left(n\right)`

Lets take the first example,

`2^(4) = 16`

as

`x=\log _b\left(n\right)`

Therefore, 4 is the logarithm of 16 to base 2.

Lets take the second example,

`x=\log _2\:64`

`2^x=64`

`x = 6`

• Logarithmic functions are basically inverse of exponents.

Here is how they are related to each other:

Logarithm → Exponent

`\log _b\left(n\right)=x\:` →
`n=b^x`

• Logarithms are helpful in displaying large number.