Question

2logx+3logy=0 find y in term of x

Answer 1

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)

Answer 2

Step-by-step explanation:

${:}\longrightarrow$$\sf 2log_x+3log_y=0$

${:}\longrightarrow$$\sf 3log_y=-2log_x$

${:}\longrightarrow$$\sf {\cancel {log}}_y={\dfrac {2}{3}}{\cancel{log}}_x$

${:}\longrightarrow$$\sf y={\dfrac{2}{3}}x$