How to find x?

Question

81^x=27^12 

 

Thanks!

Answer 1

81^x=27^12

81=3^4

27=3^3

substitute

(3^4)^x=(3^3)^12

(3)^4x=(3)^36

since the bases are the same the exponents must be the same

4x=36

x=36/4

x=9 is the solution