SrDripalot SrDripalot
  • 14-02-2020
  • Mathematics
contestada

Solve for x. 2log3(x + 4) - log39 = 2

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 14-02-2020

Answer:

[tex] x = 5 [/tex]

Step-by-step explanation:

[tex] 2 \log_3(x + 4) - \log_3 9 = 2 [/tex]

[tex] 2 \log_3(x + 4) - 2 = 2 [/tex]

[tex] 2 \log_3(x + 4) = 4 [/tex]

[tex] \log_3(x + 4) = 2 [/tex]

[tex] x + 4 = 3^2 [/tex]

[tex] x + 4 = 9 [/tex]

[tex] x = 5 [/tex]

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