Question

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

Answer 1

Step-by-step 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.