Home
Class 14
MATHS
If log(10 ) x - log(10) sqrt(x) = (2)/(l...

If `log_(10 ) x - log_(10) sqrt(x) = (2)/(log_(10 )x)`. The value of x is

Text Solution

Verified by Experts

The correct Answer is:
`x=100, 1/100`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE- 16.1|66 Videos
  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 1|50 Videos
  • LINEAR EQUATIONS

    ARIHANT SSC|Exercise Higher Skill Level Questions|7 Videos
  • MENSURATION

    ARIHANT SSC|Exercise TEST OF YOUR LEARNING|18 Videos

Similar Questions

Explore conceptually related problems

If log_(10)x-log_(10)sqrt(x)=2log_(x)10 , then a possible value of x is given by

If log_(10)x-log_(10)sqrt(x)=2log_(x)10, then possible value of x is given by

log_(10)^(x)-log_(10)sqrt(x)=2log_(x)10. Find x

log_(10)^(2) x + log_(10) x^(2) = log_(10)^(2) 2 - 1

If log_10x-log_10sqrtx=2/(log10x), find the value of x.

If x + log_(10) ( 1 + 2^(x)) = x log_(10) 5 + log_(10)6, then the value of x is

If log_(10)x^(2) -log_(10)sqrt(y) =1 , find the value of y, when x=2

(log_(10)100x)^(2)+(log_(10)10x)^(2)+log_(10)x<=14

ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 2
  1. If log(10 ) x - log(10) sqrt(x) = (2)/(log(10 )x). The value of x is

    Text Solution

    |

  2. Find the sum of 'n' terms of the series. log(2)(x/y) + log(4)(x/y)^(...

    Text Solution

    |

  3. Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):

    Text Solution

    |

  4. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  5. The set of solution for all x satisfying the equation x^(log 3 x^(2...

    Text Solution

    |

  6. The set of all the solution of the inequality log(2-x) (x-3) ge 1 is :

    Text Solution

    |

  7. If log(3)30 =1/a and log(5) 30 = 1/b then the value of 3 log(30)2 is:

    Text Solution

    |

  8. Number of ways in which 20 different pearls of two colours can be set ...

    Text Solution

    |

  9. The number of solutions of the expression satisfying 4^(x^(2)+2)-9.2^(...

    Text Solution

    |

  10. Six teachers and six students have to sit round a circular table such ...

    Text Solution

    |

  11. The number of different words which can be formed from the letters of ...

    Text Solution

    |

  12. If a denotes the number of permutation of x+2 things taken all at a ti...

    Text Solution

    |

  13. The set S={1,2,3,...,12} is to be partitioned into three sets, A, B, C...

    Text Solution

    |

  14. The number of solutions of the equation log(x//2)x^(2) + 40 log(4x)...

    Text Solution

    |

  15. Ravish writes letters to his five friends and addresses the correspond...

    Text Solution

    |

  16. f:{1,2,3,4,5}→{1,2,3,4,5} that are onto and f(i)≠i, is equal to

    Text Solution

    |

  17. The least value of expression 2 log(10)x - log(x) (1//100) for x gt 1 ...

    Text Solution

    |

  18. The equation x^((3//4) (log(2)x)^(2) + log(2)x - (5//4)) = sqrt(2) has...

    Text Solution

    |

  19. From 6 different novels and 3 different dictionaries, 4 novels and 1 d...

    Text Solution

    |

  20. Find all real values of x satisfying equation: |x-1|^(log x^(2) - 2 ...

    Text Solution

    |