Question

81^5=3^x What does “x” equal?

Answer 1

`x =2 0`

Explanation:

`{81}^(5) = {3}^(x)`

We know that 3^4 = 81. So :

`= > { ({3}^(4)) }^(5) = {3}^(x)`

`= > {3}^(4 * 5) = {3}^(x)`

`= > {3}^(20) = {3}^(x)`

Here both the Right hand side & Left hand side has same base i.e. have 3 as base in both the sides.

So , eliminating the base gives :-

`x = 20`