Respuesta :

Itz5151

Answer:

n = -5.792 ≈ - 5.80

Step-by-step explanation:

The question denotes,

1/32 ÷ √3 = 2^n

Solving for n,

  • 1/32 * 1/√3 = 2^n
  • 0.018042 = 2^n

Taking log on both sides,

  • log (0.018042) = log(2^n)

Rewrite it as,

  • n*log(2) = log(0.018042)

Transposing log(2) to the RHS,

  • n = log(0.018042)/log(2)
  • n = -5.792 ≈ -5.80