Home
Class 14
MATHS
Find the value of log m + logm^(2) + log...

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

A

`(n(n+1))/2`

B

`(mn)/2`

C

`(n(n+1))/2log_m`

D

`n(n+1)logm^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

Similar Questions

Explore conceptually related problems

The value of log_(x^(n))y^(m) is

Find the value of log_(b)^(x)*log_(c)^(b)*log_(d)^(c)dots...log_(n)^(m)*log_(a)^(n)

Find the values of each of the following : log 6 + 2 log 5 + log 4 - log 3 - log 2

Assuming that log (mn) = log m + logn prove that log x^(n) = n log x, n in N

Suppose (log)_a2=m ,(log)_a3=r , (log)_a5=s and (log)_a 11=tdot The value of (log)_a 990 , is 2m r s t (b) m + 2r + s + t m + r + s + t (d) m + 2r + 5 + t

The least positive integral value of the expression (1)/(2) log_(10) m - log_(m^(-2)) 10 is ______.

(1 + log_(n)m) * log_(mn) x is equal to

QUANTUM CAT-LOGARITHM-QUESTION BANK
  1. In the adjoining diagram graphs of logax and logbx are shown for xgt0 ...

    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 all x satisfying the equation x^(log)3x^2+((log)3x)^(2-10)=...

    Text Solution

    |

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

    Text Solution

    |

  7. If log3 30=1/a and log5 30=1/b then the value of 3log30 2 is:

    Text Solution

    |

  8. The set of all values of x satisfying x^(logx|3-x|^2)=4:

    Text Solution

    |

  9. The set of all x satisfying 4^(x^2+2)-9.2^(x^2+2)+8=0

    Text Solution

    |

  10. The equation x^([(log(3)x)^(2) - 9/2 log(3) x + 5] ) = 3sqrt3 has

    Text Solution

    |

  11. Number of real values of x satisfying the equation log(x^2+6x+8)(log(2...

    Text Solution

    |

  12. For every p being real number the solution set of the inequality log10...

    Text Solution

    |

  13. The number of real solutions of the equation 2log2log2x+log(1//2)log2(...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the value interval of x for the inequality -6lex^2-5xle6 .

    Text Solution

    |

  16. The value of x satisfying the inequalities hold: qquad log(0.2)(x+5)>...

    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 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

    Text Solution

    |

  19. The number of solutions of the equation log((2x + 3)) ( 6x^(2) + 23...

    Text Solution

    |

  20. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

    Text Solution

    |