Home
Class 12
MATHS
Solve the following equation for x\ &\ y...

Solve the following equation for `x\ &\ y :(log)_(100)|x+y|=1/2,(log)_(10)|x|=log_(100)4.`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve the following equaions for x and y log_(10)x+(1)/(2)log_(10)x+(1)/(4)log_(10)x+"...."=y " and " (1+3+5+"...."+(2y-1))/(4+7+10+"...."+(3y-1))=(20)/(7log_(10)x) .

Solve the following equation for x: 9^(log_(3)(log_(2)x))=log_(2)x-(log_(2)x)^(2)+1

Solve the following equations for x and y: log_10x+log_10(x)^(1/2)+log_10(x)^(1/4)+….=y (1+3+5+…+(2y-1))/(4+7+10+..+(3y+1))=20/(7log_10x)

Solve the equations log_(1000)|x+y|=(1)/(2)*log_(10)y-log_(10)|x|=log_(100)4 for x and y

Solve the following equations for x and y,log_(2)x+log_(4)x+log_(16)x+......cdots=y

Solve the following equations for x and ylog_(2)x+log_(4)x+log_(16)x+...=y and (5+9+1+...+(4y+1))/(1+3+5+...+(2y+1))=4log_(4)x

ALLEN-LOGARITHMS-All Questions
  1. Solve for x :(log)5 120+(x-3)-2.(log)5(1-5^(x-3))=-(log)5(0. 2-5^(x-4)...

    Text Solution

    |

  2. Solve the equation for x : log4+(1+1/(2x))log3=log(root(x)3+27)

    Text Solution

    |

  3. Find the real solutions to the system of equations log(10)(2000xy)-log...

    Text Solution

    |

  4. Find the x satisfying the equation log^2(1+4/x)+log^2(1-4/(x+4))=2lo...

    Text Solution

    |

  5. Solve for x:\ log^2 (4-x)+log(4-x)*log(x+1/2)-2log^2(x+1/2)=0

    Text Solution

    |

  6. Solve the following equation for x\ &\ y :(log)(100)|x+y|=1/2,(log)(10...

    Text Solution

    |

  7. Find all real numbers x which satisfy the equation 2(log)2log\ 2x+(...

    Text Solution

    |

  8. log(3/4)log8(x^2+7)+log(1/2)log(1/4)(x^2+7)^(-1)=-2

    Text Solution

    |

  9. Given: (log)(10)34. 56=1. 5386\ fin d(log)(10)3. 456 :(log)(10)0. 0...

    Text Solution

    |

  10. Find the number of positive integers which have the characterstics 3 w...

    Text Solution

    |

  11. If (log)(10)2=0. 3010\ &(log)(10)3=0. 4771.\ Find the value of (log...

    Text Solution

    |

  12. Find the antilogarihtm of 0.75 if the base of the logarithm is2401

    Text Solution

    |

  13. Let 'L' denotes the antilog of 0.4 to the base 1024. and 'M' denotes t...

    Text Solution

    |

  14. Find the product of the positive roots of the equation sqrt((2008))...

    Text Solution

    |

  15. Solve: (log)3(sqrt(x)+|sqrt(x)-1|)=(log)9(4sqrt(x)-3+4|sqrt(x)-1|)

    Text Solution

    |

  16. Find the value of x satisfying the equation ((log)3 3x3+(log)x3x3...

    Text Solution

    |

  17. The number of solutions of (log)4(x-1)=(log)2(x-3) is (2001, 2M) 3 (b...

    Text Solution

    |

  18. Let (x0, y0) be the solution of the following equations: (2x)^(1n2)=(3...

    Text Solution

    |

  19. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

    Text Solution

    |

  20. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

    Text Solution

    |