Question

If x 1/12 = 49 1/24 ,then find the value of x.

Answer 1

The value of x will be 45 whole number 7/26.

Answer 2

Given:

$x^{1/12}$  = $49^{1/24}$

To find:

The value of x

Solution:

The required value of x is 7.

We will use the following properties to solve the given equation.

If $x^{a}$ = $y^{a}$, then x=y.

Also, $(x^{a} )^{b}$= $x^{ab}$.

Now, we will solve the given equation.

$x^{1/12}$  = $49^{1/24}$

$x^{1/12}$  = $(7^{2}) ^{1/24}$

$x^{1/12}$  = $7^{2/24}$

$x^{1/12}$  = $7^{1/12}$

Using the property, we get

x=7

Therefore, the required value of x is 7.