Home
Class 12
MATHS
Let x and y be the positive real number...

Let x and y be the positive real numbers such that `log_x y=-(1)/(4)`, then value of the expression `log_x(xy^5)-log_y""((x^(2))/(sqrt(y)))` is `(p)/(q)` then q is _____________. { where p , q `in N` and are coprime to each other }

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive )|20 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive ) (Fill in the blanks )|3 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|64 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let x,y,z be positive real numbers such that log_(2x)z=3, log_(5y)z=6 and log_(xy)z=2/3 then the value of z is

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .

If x = log p and y=(1)/(p), then

If x = log p and y=(1)/(p), then

If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then find x/y .

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

If log_y x +log_x y=7, then the value of (log_y x)^2+(log_x y)^2, is

Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(3) -1) for x gt 1 is (p)/(q), where p and q are relatively prime natural numbers, then p+ q=