The region in which the inequality log x log y x0 is satisfied is infected by a deadly virus. If Mr. Safe walks along the curve y=[x]+lxl+10π starting from x=0 & moving towards positive x-axis. What are the chances of survival of Mr. Safe is (in percent)

Question

The region in which the inequality log x log y x>0 is satisfied is infected by a deadly virus. If Mr. Safe walks along the curve y=[x]+lxl+10&pi; starting from x=0 & moving towards positive x-axis. What are the chances of survival of Mr. Safe is (in percent)

askIITianexpert IITDelhi · Answer

The stated inequality means following things:

X,Y>0 ; X,Y≠1 (for logs to be defined)

X>Y for X,Y>1or X,Y<1 (again from properties of log if log_ab>c then b>a^c for a>1 otherwise b<a^c )

X<Y for X>1,Y<1orX<1,Y>1(condition X<Y for X>1,Y<1 is impossible.)

Now curve clearly shows that Y>X & Y>1.So Mr.Safe will be safe after X=1.

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The region in which the inequality log x log y x>0 is satisfied is infected by a deadly virus. If Mr. Safe walks along the curve y=[x]+lxl+10π starting from x=0 & moving towards positive x-axis. What are the chances of survival of Mr. Safe is (in percent)

The region in which the inequality log_xlog_yx>0 is satisfied is infected by a deadly virus. If Mr. Safe walks along the curve y=[x]+lxl+10π starting from x=0 & moving towards positive x-axis. What are the chances of survival of Mr. Safe is (in percent)

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