Home
Class 12
MATHS
If x^(y)=y^(x) show that (x/y)^(x/y)=x^...

If `x^(y)=y^(x)` show that `(x/y)^(x/y)=x^((x)/(y)-1)` if further x=2y then prove that y=2

Promotional Banner

Topper's Solved these Questions

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|14 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If x^y=y^x , then prove that (x/y)^(x/y)=(x)^((x)/(y)-1) .

x^(y)=y^(x),x=2y

If y=e^((y)/(x)) show that, (dy)/(dx)=(y^(2))/(x(y-x)) .

If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

If ye^(y)=x , prove that, (dy)/(dx)=(y)/(x(1+y)) .

If y = x/(x+a) ,show that x dy/dx = y (1- y)

If ye^y=x prove that (dy)/(dx)= y/(x(1+y))

If y=x^(1/3)-x^(-1/3) , prove that y^(3)+3y=x-(1)/(x)

If y= 2^((1)/(log_(x)4)) then prove that x=y^(2) .

If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)