Home
Class 12
MATHS
where the base of logarithm is ?...

where the base of logarithm is ?

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

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

Let x= 2^(log 3) and y=3^(log 2) where base of the logarithm is 10,then which one of the following holds good.

Solve the equation for x:x^(logx+4) = 32 , where base of logarithim is 2.

Find the number of positive integers which have the characterstics 3, when the base of the logarithm is 7.

Find the number of positive integers which have the characterstics 3 when the base of the logarithm is 7

Find the antilogarihtm of 0.75 if the base of the logarithm is2401

Find the antilogarihtm of 0.75 if the base of the logarithm is2401

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. (log)_(2/3)5/6 is- a. less than zero b. \ greater than zero and less than one c. \ greater than one d. none of these

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6

ALLEN-LOGARITHMS-All Questions
  1. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2then find x.

    Text Solution

    |

  2. x^((log2 x)+4)=32 then find x.

    Text Solution

    |

  3. where the base of logarithm is ?

    Text Solution

    |

  4. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Statement I: the equation (log)(1/(2+|"x"|))(5+x^2)=(log)()(15+sqrt(x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. O...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If (log)(10)33. 8=1. 5289 ,\ t h e n(log)(10)0. 338 is- a. 1 .5289 b...

    Text Solution

    |

  16. Prove that ((log)a N)/((log)(a b)N)=1+(log)a b

    Text Solution

    |

  17. log(1//3)sqrt(729*root(3)(9^(- 1)*27^(-4//3))) is equal to

    Text Solution

    |

  18. Compute the following a^(((log)b((log)a N))/((log)b\ \ a))

    Text Solution

    |

  19. Prove the identity; (log)a Ndot(log)b N+(log)b Ndot(log)c N+(log)c Ndo...

    Text Solution

    |

  20. Which is smaller? 2 or (log(("e"-1))2+log2(e-1))

    Text Solution

    |