Respuesta :

mhanifa

Answer:

  • -0.753

Step-by-step explanation:

Given

  • log₃4 ≈ 1.262 and
  • log₃7 ≈ 1.771

To find

  • log₃(7/16)

Solution

  • log₃(7/16) =
  • log₃7 - log₃16 =
  • log₃7 - 2log₃4 =
  • 1.771 - 2*1.262 =
  • -0.753

MisterBrainly
  • log(a/b)=loga-logb

So

  • log_3(7/16)
  • log_3(7)-log_3(16)
  • log_3(7)-log_3(4²)
  • log_3(7)-2log_3(4)
  • 1.771-2(1.262)
  • -0.753