Home
Class 12
MATHS
Let N=((log)3 135)/((log)(15)3)-((log)3 ...

Let `N=((log)_3 135)/((log)_(15)3)-((log)_3 5)/((log)_(405)3)` . Then `N` is a. A natural number b. a prime number c. an even integer d. an odd integer

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

Let N=(log_(3)135)/(log_(15)3)-(log_(3)5)/(log_(405)3). Then N is a natural number (b) a prime number an even integer (d) an odd integer

Let N=(log_(3)135)/(log_(3)135)-(log_(3)5)/(log_(3)5). Then N is a.A natural number b.a prime number c. an even integer d.an odd integer

Evaluate (log_(3)135)/(log_(15)3)-(log_(3)5)/(log_(405)3)

Evaluate :((log_(3)(135))/(log_(15)(3)))-((log_(3)(5))/(log_(405)(3)))

((log)_(2)3)(log)_(3)4(log)_(4)5(log)_(n)(n+1)=10 Find n=?

(log)_(2)(log)_(2)(log)_(3)(log)_(3)27^(3) is 0 b.1 c.2 d.3

((log)_(5)3)xx((log)_(3)625) equals 1 b.2 c.3 d.4

((log)_(5)5)((log)_(4)9)((log)_(3)2) is equal to 2 b.5 c.1 d.(3)/(2)

BANSAL-LOGARITHM-All Questions
  1. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  2. A denotes the product xyz where x,y and z satisfy log3 x= log5-log7 a...

    Text Solution

    |

  3. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3) . Then N is a...

    Text Solution

    |

  4. If (a^(logb x))^2-5\ a^(logb x)+6=0, where a >0, b >0\ &\ a b!=1, then...

    Text Solution

    |

  5. Which of the following statement(s) is/are true? (a) log(10)2 lies be...

    Text Solution

    |

  6. The equation log(x^2) 16+log(2x)64=3 has (a) one irrational solution (...

    Text Solution

    |

  7. Which of the following real numbers is (are) non-positive ? (log)(1//...

    Text Solution

    |

  8. The expression x=log2log9sqrt(6+sqrt(6+sqrt(6+.........oo))) simplifie...

    Text Solution

    |

  9. The number N= 2^ (log2 3·log3 4.log4 5....... log99 100) simplifies to

    Text Solution

    |

  10. The expression 1/(log5 3)+1/log6 3-1/log10 3simplifies to

    Text Solution

    |

  11. The number N=sqrt(2+sqrt5-sqrt(6-3sqrt5+sqrt(14-6sqrt5) simplifies to

    Text Solution

    |

  12. The value(s) of x , which does not satisfy the equation log2^2(x^2-x...

    Text Solution

    |

  13. The value of x satisfying the equation 2^(log2e^(In^5log 7^(log10^(log...

    Text Solution

    |

  14. he number N=(1/(log2pi)+1/(log6pi)) is less then

    Text Solution

    |

  15. Let I=(log3 4+log2 9)^2-(log3 4-log2 9)^2 and m=(0.8)(1+9^(log3 8))^...

    Text Solution

    |

  16. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

    Text Solution

    |

  17. If k^(log2 5)=16 , find the value of k^((log2 5)^2)

    Text Solution

    |

  18. For x , y in NN , if 3^(2x-y+1)=3^(y-2x+1)-8 and log6|2x^2y-x y^2|=1+...

    Text Solution

    |

  19. Let log2x+log4y+log4z=2; log9x+log3y+log9z=2; log(16)x+log(16)y+log4z...

    Text Solution

    |

  20. Find the value of x satisfying (log)(10)(2^x+\ x-41)=x\ (1-(log)(10)...

    Text Solution

    |