bustergirl5o bustergirl5o
  • 21-11-2018
  • Mathematics
contestada

what is the value of x in log2 (x)-3=1

A) 2^2
b) 2^4
c) 2^3
d) 2^1

Respuesta :

gmany
gmany gmany
  • 22-11-2018

[tex]Domain:x > 0\\\\\log_2x-3=1\qquad\text{add 3 to both sides}\\\\\log_2x=4\qquad\text{use de}\text{finition of logarithm}:\ \log_ab=c\iff a^c=b\\\\\boxed{x=2^4}\to\boxed{b)}[/tex]

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mathstudent55
mathstudent55 mathstudent55
  • 12-11-2021

Answer:

b) 2^4

Step-by-step explanation:

[tex](\log_2 x) - 3 = 1[/tex]

[tex] \log_2 x = 4 [/tex]

[tex] \log_2 x = 4 [/tex]

[tex] 2^4 = x [/tex]

[tex] x = 2^4 [/tex]

Answer Link

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