supe221 supe221
  • 06-12-2020
  • Mathematics
contestada

Identify the solution set of 3 In 4 = 2 In x.
0 {6}
O {-8, 8)
O {8}

Respuesta :

xenia168
xenia168 xenia168
  • 06-12-2020

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x  ( x > 0 )

ln [tex]4^{3}[/tex] = ln [tex]x^{2}[/tex]

x² = 4³

x² = (2³)²

x = ± 2³

[tex]x_{1}[/tex] = 8

[tex]x_{2}[/tex] = - 8 ( strange root, does not satisfy the domain of given function )

x = 8

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