Home
Class 12
MATHS
If x1and \ x2 are the solution of the eq...

If `x_1and \ x_2` are the solution of the equation `x^(3log_10^3x-2/3log_(10)x)=100 root(3)10 then- a.` x1x2=1` b. x1*x2=x1+x2` c.`log_(x2)x1=-1` d. `log(x_1*x_2)=0`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The solution set of the equation log_(10)(3x^(2)+12x+19)log_(10)(3x+4)=1 is

If x_1 and x_2 are the solutions of the equation x^(log_(10)x)=100x such that x_1gt1 and x_2lt1 , the value of (x_1x_2)/2 is

the equation of log_(2)(3-x)+log_(2)(1-x)=3

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

The sum of solution of the equation log_(10)(3x^(2) +12x +19) - log_(10)(3x +4) = 1 is

The equation (log_(10)x+2)^(3)+(log_(10)x-1)^(3)=(2log_(10)x+1)3

Solution x^((log_(10)x)^(2)-(3log_(10))^(x+1))>1000 for x in R is

The solution of the equation int_(log_(2))^(x) (1)/(e^(x)-1)dx=log(3)/(2) is given by x=

ALLEN-LOGARITHMS-All Questions
  1. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

    Text Solution

    |

  2. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

    Text Solution

    |

  3. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |

  4. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2; y=(log)c b^3& z=(log)a c^k ...

    Text Solution

    |

  5. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

    Text Solution

    |

  6. If x^3//4((log)3x)^(2+(log)3x-5//4)=3,\ t h e n\ x has- a. one positiv...

    Text Solution

    |

  7. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2

    Text Solution

    |

  8. x^((log2 x)+4)=32

    Text Solution

    |

  9. where the base of logarithm is

    Text Solution

    |

  10. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

  11. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  12. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  13. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  14. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  15. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  16. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  17. Comprehension 2 In comparison of two numbers, logarithm of small...

    Text Solution

    |

  18. Comprehension 2 In comparison of two numbers, logarithm of small...

    Text Solution

    |

  19. Comprehension 3 If P is the non negative characteristic of (log)(10...

    Text Solution

    |

  20. Comprehension 3 If P is the non negative characteristic of (log)(10...

    Text Solution

    |