hakin027304
hakin027304 hakin027304
  • 18-06-2022
  • Mathematics
contestada

1 over 32 divided by cubed root 2 = 2 to the power of N
Work out the value of N

Respuesta :

Itz5151
Itz5151 Itz5151
  • 18-06-2022

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
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