Home
Class 12
MATHS
The sytem of equations log10(2000xy)-l...

The sytem of equations
`log_10(2000xy)-log_10x.log_10y=4`
`log_10(2yz)-log_10y.log_10z=1`
and `log_(10)(zx)-log_10 x=0`
has two solutions `(x_1,y_1,z_1)` and `(x_2,y_2,z_2)`,then

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the real solutions to the system of equations log_(10)(2000xy)-log_(10)x.log_(10)y=4 , log_(10)(2yz)-log_(10)ylog_(10)z=1 and log_(10)zx-log_(10)zlog_(10)x=0

The domain of the function y=sqrt(log_10(log_10x)-log_10(4-log_10x)-log_10 3 quad is

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

Solve the equations log_1000 |x+y| = 1/2 . log_10 y - log_10 |x| = log_100 4 for x and y

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

If log_(10)x+log_(10)y=2, x-y=15 then :

Solve the equation: log_(x)^(3)10-6log_(x)^(2)10+11log_(x)10-6=0

Find the domain of the function f(x)=log_10((log_10 x^2)-5log_10 x+6)

Solve the following equations. (vii) 4^(log_10x+1)-6^(log_10x)-2.3^(log_10x^2+2)=0

ALLEN-LOGARITHMS-All Questions
  1. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

    Text Solution

    |

  2. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)cc=3 (where a , b , ...

    Text Solution

    |

  3. Prove that (log)7 10 is greater than (log)(11)13.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The sytem of equations log10(2000xy)-log10x.log10y=4 log10(2yz)-log...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Given: (log)(10)34. 56=1. 5386 find (log)(10)3. 456 and(log)(10)0....

    Text Solution

    |

  12. Find the number of positive integers which have the characterstics 3, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find the production of the positive roots of the equation sqrt2000(x)^...

    Text Solution

    |

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

    Text Solution

    |

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

    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(sqrt(4-1/(3sqrt(2)))sqrt(4...

    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

    |