Respuesta :

mhanifa

Answer:

Given

  • log₃ 20 = x and log₃ 2 = y

Properties used

  • log ab = log a  + log b
  • log a/b = log a - log b
  • log aᵇ = b log a

a)

  • log₃ 400 = log₃ (20)² = 2 log₃ 20 = 2x

b)

  • log₃ 80 = log₃ (20*4) = log₃ 20 + log₃ 4 = log₃ 20 + 2log₃ 2 = x + 2y

c)

  • log₃ 40 = log₃ (20*2) = log₃ 20 + log₃ 2 = x + y

d)

  • log₃ 10 = log₃ (20/2) = log₃ 20 - log₃ 2 = x - y

Otras preguntas