Question

If 27^x = 3, then the value of x is
(Hurrry up huys)

Answer 1

$\: \: \: \: \: \: \: {(27)}^{x} = 3 \\ = = > { {(3)}^{3} }^{(x)} = {3}^{1} \\ = = > {(3)}^{3x} = {(3)}^{1}$

Equate the powers whebbases are same.

$\: \: \: 3x = 1 \\ = = > x = \frac{1}{3}$

Answer 2

Given:

27^x = 3

To find:

The value of the unknown variable, x

Solution:

27^x = 3

This can be written by making the bases the same:

3^3x = 3^1 ( as 3^3 is 27 and 3^1 is 3)

Now as we got the bases same( 3), we can equate the powers as:

3x= 1

Or, x= 1/3

Therefore the value of x is 0.33 or 1/3.