sylviajackson5p1zis8 sylviajackson5p1zis8
  • 03-05-2019
  • Mathematics
contestada

What is 3log2x-(log2(x+4)) written as a single logarithm

Respuesta :

gmany
gmany gmany
  • 04-05-2019

Answer:

[tex]\large\boxed{3\log_2x-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}}[/tex]

Step-by-step explanation:

[tex]3\log_2x-\log_2(x+4)\\\\\text{use}\ \log_ab^n=n\log_ab\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\=\log_2x^3-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}\\\\\text{Domain:}\\\\x>0\ \wedge\ x+4>0\to x>0\ \wedge\ x>-4\\\\\boxed{x>0}[/tex]

Answer Link
taterang4 taterang4
  • 16-04-2020

Answer:

c

Step-by-step explanation:

Answer Link

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