Home
Class 14
MATHS
Ther are n zeros appearing immediately a...

Ther are n zeros appearing immediately after the decimal point in the value of `(0.2)^(25)`. It is given that the value of `"log"_(10)2=0.30103`. The value of n is

A

15

B

16

C

17

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|43 Videos

  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos

  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

The number of zeroes coming immediately after the decimal point in the value of (0.2)^(25) is : Given log_(10)2=0.30103)

The value of log_(10)0.0001 is

find the value of log_(0.6)(9/25)

If log_(10)2=0.3010 , then the value of log_(10)80 is

If log_(10)2=0.30103, find the value of log_(10)50.

Knowledge Check

  • The value of log_(10)(0.0001) is:

    A
    `1/1000`
    B
    `-3`
    C
    `-4`
    D
    none of these

  • the value of log_(10) 0.000001 is

    A
    6
    B
    (-6)
    C
    5
    D
    (-5)

  • If log2=0.3010 , then value of log 25 is

    A
    `1.6020`
    B
    `1.3010`
    C
    `overline(1).6990`
    D
    `1.3980`
    • DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
    1. Ther are n zeros appearing immediately after the decimal point in the ...

      Text Solution

      |

    2. What is the solution of log(10)[1-{1-(1-x^(2))^(-1)}^(-1)]^(1/2)= 1 ?

      Text Solution

      |

    3. N=n!, where ngt2. Find the value of (log(2)N)^(-1)+(log(3)N)^(-1)+(lo...

      Text Solution

      |

    4. What is the value of (1)/(log(2)n)+(1)/(log(3)n)+ . . .+(1)/(log(40)n)...

      Text Solution

      |

    5. Which of the following options represents the value of logsqrt(128) ...

      Text Solution

      |

    6. Let u=(log(2)x)^(2)-6log(2)x+12 where x is a real number.. Then the e...

      Text Solution

      |

    7. If 5^(x)=(0.5)^(y)=1000, then the value of (1/x-1/y) is

      Text Solution

      |

    8. The least value of expression 2log(10)x-log(x)(1//100) for xgt1 is ?

      Text Solution

      |

    9. What is the value of P if log(e)2.log(p)625=log(10)16.log(e)10 ?

      Text Solution

      |

    10. If log(12)27=a, then log(6)16 is

      Text Solution

      |

    11. If 2[log(x+y)-log5]=logx+logy, then what is the value of x^(2)+y^(2) ...

      Text Solution

      |

    12. The number of solutions of the equation log(x-3)(x^(3)-3x^(2)-4x+8)=3...

      Text Solution

      |

    13. Find the value of x, if the fourth term in the expansion of ((1)/(x^(...

      Text Solution

      |

    14. Solve : 3^(2x-1)=4^(x+2)

      Text Solution

      |

    15. Solve for x:log(5)(5^(1//x)+125)=log(5)6+1+1//2x

      Text Solution

      |

    16. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

      Text Solution

      |

    17. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

      Text Solution

      |

    18. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

      Text Solution

      |

    19. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

      Text Solution

      |

    20. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

      Text Solution

      |