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]