Question

81^5=3^x What does “x” equal?

Answer 1

Answer:

$x =2 0$

Step-by-step explanation:

${81}^{5} = {3}^{x}$

We know that 3^4 = 81. So :

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

$= > {3}^{4 \times 5} = {3}^{x}$

$= > {3}^{20} = {3}^{x}$

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 :-

$x = 20$