Home
Class 12
MATHS
If logx log18 (sqrt2+sqrt8)=1/3. Then th...

If `log_x log_18 (sqrt2+sqrt8)=1/3.` Then the value of `1000 x` is equal to

A

8

B

`1//8`

C

`1//125`

D

`125`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -I)|19 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -II)|11 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

log_(x)log_(18)(sqrt(2)+sqrt(8))=(1)/(3) Then the value of 1000x is equal to

If log_(x)log_(18)(sqrt(2)+sqrt(8))=-(1)/(2) then the value of x is equal to

If log_(x)log_(18)(sqrt(2)+sqrt(8))=(1)/(3) , then the value of 32x=

If log_(x)log_(18) (sqrt(2)+sqrt(8)) = (-1)/(2) . Then the value of 'x'.

If log_(sqrt(8))x=3(1)/(3), find the value of x

If log_(sqrt8) b = 3 1/3 , then find the value of b.

If A=log_(sqrt(3))(sqrt(3sqrt(3sqrt(3sqrt(3)))))* then the value of log_(sqrt(2))(8A+1) is equal to

a=3(sqrt(8+2sqrt(7))-sqrt(8-2sqrt(7))),b=sqrt(((42)(30)+(36))) then the value of log _(a)b is equal to

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. 1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...

    Text Solution

    |

  2. If 3^(2 log3 x)-2x-3=0, then the number of values of 'x' satisfying th...

    Text Solution

    |

  3. If logx log18 (sqrt2+sqrt8)=1/3. Then the value of 1000 x is equal to

    Text Solution

    |

  4. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

    Text Solution

    |

  5. Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...

    Text Solution

    |

  6. Solve for x: log(4) log(3) log(2) x = 0.

    Text Solution

    |

  7. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

    Text Solution

    |

  8. log(10)^(2) x + log(10) x^(2) = log(10)^(2) 2 - 1

    Text Solution

    |

  9. Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0) .

    Text Solution

    |

  10. Solve (log)(0. 04)(x-1)geq(log)(0. 2)(x-1)

    Text Solution

    |

  11. Solve log(2)(x-1) gt 4.

    Text Solution

    |

  12. Solve log(x+3)(x^(2)-x) lt 1.

    Text Solution

    |

  13. How many digits are contained in the number 2^(75) ?

    Text Solution

    |

  14. Let m be the number of digits in 3^(40) and p be the number of zeroes...

    Text Solution

    |

  15. Given that log(10)(2) = 0.3010..., number of digits in the number 2000...

    Text Solution

    |

  16. If P is the number of natural numbers whose logarithms to the base 10 ...

    Text Solution

    |

  17. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |

  18. Solution of |4x +3| + |3x - 4| = 12 is

    Text Solution

    |

  19. |(x-3)|+2|(x+1)|=4

    Text Solution

    |

  20. Solution of equation: |x|^(2) - |x|+4= 2 x^(2) - 3 |x| + 1

    Text Solution

    |