Respuesta :

Answer:

  • y = x^(-2/3)

Step-by-step explanation:

Given

  • 2log x + 3log y = 0

Finding y in terms of x

  • 3log y = -2log x
  • log y = -2/3log x
  • log y = log x^(-2/3)
  • y = x^(-2/3)

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2log_x+3log_y=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3log_y=-2log_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac{2}{3}}x [/tex]

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