Respuesta :

Answer:

x=9

Step-by-step explanation:

3 ^ (x-4) = 243

Rewrite 243 as a power of 3

3 ^ (x-4) =3^5

Since the bases are the same, the exponents are the same

x-4 =5

Add 5 to each side

x-4+4 = 5+4

x=9