Respuesta :
Answer:
c. x=3
Step-by-step explanation:
4^x = 8^(x − 1)
4 = 2^2
8 = 2^3
2^2^x = 2^3^(x-1)
We know that a^b^c = a^(b*c)
2^(2x) = 2^(3*(x-1))
2^(2x) = 2^(3x-3)
The bases are the same so the exponents are the same
2x = 3x-3
Subtract 3x from each side
2x-3x = 3x-3-3x
-x = -3
x =3
Answer:
c. x = 3
Step-by-step explanation:
4^x = 8^(x-1)
2²^x = 2³^(x-1)
2^(2x) = 2^(3x-3)
2x = 3x - 3
x = 3