Home
Class 12
MATHS
Solve for x and y:y^(x) = x^(y), x = 2y...

Solve for x and ` y:y^(x) = x^(y), x = 2y`.

Text Solution

Verified by Experts

The correct Answer is:
` x = 4, y = 2`
`y^(x) = x^(y), x = 2 y `
` rArr y^(x) =(2y)^(x//2)`
` rArr y = 2,`hence x = 4
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.2|9 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise Exercise 1.3|16 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE|Exercise JEE Previous Year|10 Videos

Similar Questions

Explore conceptually related problems

Solve for x and y, x + y = 2, x - y = 1

Solve for x and y: x + 2y = 9 2x - y = 8

Solve for x and y : 2^(y-x) (x + y) = 1 and (x + y)^(x - y) = 2 .

Solve for x and y: 2x + 3y + 1 = 0, 3x + 2y - 11 = 0

Solve for x and y 4(x-3)=3(y+3) 17-2x=8-(2y+1)

Solve for x and y : (2)/(x) + (3)/(y ) = 13, (5)/(x) - ( 4)/( y) = - 2 ( x ne 0 and y ne 0 )

Solve for x and y: 4x-2y=3 , 2x+y=1

Solve for x and y: 3x+2y=11 2x+3y=4

Solve for x and y: x-y=3 and x+2y=6 .

Solve for x and y : x+y=2and2x-y=1