solve xy=yx and x2=y3  .

Dear Student,
Please find below the solution to the asked query:

We have:x2=y3y=x23...ixy=yxxx23=x23x xx23=x2x3Take log on both sideslogxx23=logx2x3x23 logx=2x3 logxx23 logx-2x3 logx=0logxx23-2x3=0Whenlogx=0x=100=1y=x23=123=1Whenx23-2x3=0x23=2x3xx23=32x13=32x=323=278y=x23=32323=94Hence required solutions are x,y=1,1 or x,y=278,94

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards

  • 0
What are you looking for?