Answer:
[tex]x =2 0[/tex]
Step-by-step explanation:
[tex] {81}^{5} = {3}^{x} [/tex]
We know that 3^4 = 81. So :
[tex] = > { ({3}^{4}) }^{5} = {3}^{x} [/tex]
[tex] = > {3}^{4 \times 5} = {3}^{x} [/tex]
[tex] = > {3}^{20} = {3}^{x} [/tex]
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 :-
[tex]x = 20[/tex]