Home
Class 11
MATHS
Suppose x , y ,z=0 and are not equal to ...

Suppose `x , y ,z=0` and are not equal to 1 and `logx+logy+logz=0.` Find the value of `1/(x^(logy))+1/(^(logz))1/(y^(logz))+1/(^(logx))1/(z^(logx))+1/(^(logy))`

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

Suppose x;y;zgt0 and are not equal to 1 and log x+log y+log z=0 . Find the value of x^(1/log y+1/log z)xx y^(1/log z+1/log x)xx z^(1/logx+1/logy) (base 10)

The value of (yz)^(logy-logz)xx(zx)^(logz-logx)xx(xy)^(logx-logy) is

The value of int_(0)^(oo) (logx)/(1+x^(2))dx , is

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

Evaluate: int{1/(logx)-1/((logx)^2)}\ dx

Evaluate: int{1/(logx)-1/((logx)^2)}\ dx

prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1

The value of int1/(x+xlogx)\ dx is (a) 1+logx (b) x+logx (c) xlog(1+logx) (d) log(1+logx)

The value of lim_(xto1)(tan((pi)/4+logx))^(1/(logx)) is equal to

intdx/(x[(logx)^2+4logx-1])

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

    Text Solution

    |

  2. Prove that: 2^((sqrt((log)a4sqrt(a b)+(log)b4sqrt(a b))-sqrt((log)a4sq...

    Text Solution

    |

  3. Prove that (2^((log)2 1/4x)-3^((log)(27)(x^2+1)^3)-2x) /(7^(4(log)(49...

    Text Solution

    |

  4. Solve (log)4 8+(log)4(x+3)-(log)4(x-1)=2.

    Text Solution

    |

  5. Which of the following pairs of expression are defined for the same se...

    Text Solution

    |

  6. Solve (log)2(3x-2)=(log)(1/2)x

    Text Solution

    |

  7. Solve log(-x)=2log(x+1)dot

    Text Solution

    |

  8. Solve: (log)2(4.3^x-6)-(log)2(9^x-6)=1.

    Text Solution

    |

  9. Solve 2^(x+2)27^(x//(x-1))=9

    Text Solution

    |

  10. Suppose x , y ,z=0 and are not equal to 1 and logx+logy+logz=0. Find t...

    Text Solution

    |

  11. If (log)(12)27=a , then find (log)6 16int e r m sofa

    Text Solution

    |

  12. If y^2=x z and a^x=b^y=c^z , then prove that (log)ab=(log)bc

    Text Solution

    |

  13. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

    Text Solution

    |

  14. If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

    Text Solution

    |

  15. Find the value of ((log)3 4)((log)4 5)((log)5 6)((log)6 7)((log)7 8)((...

    Text Solution

    |

  16. y=2^(1/((log)x4), then find x in terms of y.

    Text Solution

    |

  17. If n >1,t h e np rov et h a t 1/((log)2n)+1/((log)3n)++1/((log)(53)n)...

    Text Solution

    |

  18. What is logarithm of 32 root(5) 4" to the base "2sqrt2?

    Text Solution

    |

  19. Which is greater: x=(log)3 5ory=(log)(17)25 ?

    Text Solution

    |

  20. The product of roots of the equation (3)/((log8x)^2)=3 is 1 (b) (c)...

    Text Solution

    |