Home
Class 12
MATHS
The number of ordered pair(s) of (x, y) ...

The number of ordered pair(s) of (x, y) satisfying the equations
`log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|7 Videos

  • LIMIT

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|5 Videos

Similar Questions

Explore conceptually related problems

Number of ordered pair (s) of (x,y) satisfying the system of equations,log_(2)xy=5 and (log_((1)/(2)))(x)/(y)=1 is :

Number of ordered pair (s) (x,y) satisfying the system of equations 2log(x^(2)+y^(2))-log5=log{2(x^(2)+y^(2))+75}and log((x)/(3))+log(5y) =1+log2, is

The number of ordered pairs (x, y) satisfying 4("log"_(2) x^(2))^(2) + 1 = 2 "log"_(2)y " and log"_(2)x^(2) ge "log"_(2) y , is

If ordered pair (x,y) satisfying the system of equations 4^((x)/(y)-(y)/(x))=32 and log_(3)(x-y)=1-log_(3)(x+y) then

Find the value of x satisfying the equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y)=1 and xy^(2)=9

For 0

The number of solution pairs (x , y) of the simultaneous equations log_(1//3) (x + y) + "log"_(3) (x-y) = 2 and 2^(y^(2)) = 512^(x + 1) is

VIKAS GUPTA (BLACK BOOK)-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. The number N=6^(log(10)40). 5^(log(10)36) is a natural number ,Then su...

    Text Solution

    |

  2. The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...

    Text Solution

    |

  3. How many positive integers b have the property that log(b)729 is a pos...

    Text Solution

    |

  4. The number of negative integral values of x satisfying the inequality ...

    Text Solution

    |

  5. (6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...

    Text Solution

    |

  6. If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...

    Text Solution

    |

  7. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  8. The number of real values of x satisfying the equation log(10) sqrt(...

    Text Solution

    |

  9. The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...

    Text Solution

    |

  10. If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...

    Text Solution

    |

  11. The number of ordered pair(s) of (x, y) satisfying the equations log...

    Text Solution

    |

  12. If logb(n)=2 and logn(2b)=2, then b is equal to

    Text Solution

    |

  13. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  14. If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=

    Text Solution

    |

  15. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  16. If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...

    Text Solution

    |

  17. Find the number or real values of x satisfying the equation 9^(2log(9)...

    Text Solution

    |

  18. If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.

    Text Solution

    |

  19. The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...

    Text Solution

    |