Respuesta :

Answer:

D

Step-by-step explanation:

㏒ _{2} (n)=4

[tex]2^4=n\\log 2^4=log n\\4 log 2=log n[/tex]

Option D is equivalent to log2(n) =4

What is log?

“log” is short for “logarithm.Logarithms are the opposites, or inverses, of equations involving exponents.

Solve the given expression in the question  log2(n) =4

n=2⁴

n=64

A.  log n= log2/4

     n=2/4

     n=0.5

B.  n=log2/log4

    n=log2/4

    n=log0.5

    n=-0.301

C. n=log4•log2

  n=log4×2

  n=log8

  n=0.903

D. log n=4log2

   log n=log2⁴

   n=2⁴

   n=64

Thus the option D is equivalent to log2(n) =4

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