Home
Class 12
MATHS
The value of a^((logb(logbN))/(logb a)),...

The value of `a^((log_b(log_bN))/(log_b a)),` is

A

`log_aN`

B

`log_bN`

C

`log_Na`

D

`log_Nb`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|9 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 3|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of 49^((1-log_7(2)))+5^(-log_5(4) is

The value of log_4[|log_2{log_2(log_3)81)}] is equal to

The value of (log_5 9*log_7 5*log_3 7)/(log_3 sqrt(6))+1/(log_4 sqrt(6)) is co-prime with

If log_(10)(sin(x+pi/4))=(log_(10)6-1)/2 , the value of log_(10)(sinx)+log_(10)(cosx) is

The value of (2^(log_(2^(1/4)) 2)-3^(log_27 125)-4)/((7^(4log_(49) 2))-3) is

Show that the curves y = a^x and y = b^x , a gt b gt 0 intersect at an angle of tan^-1 (|(log(a/b)/(1+log a logb))|)

If x_n > x_(n-1) > ..........> x_3 > x_1 > 1. then the value of log_(x_1) [log_(x _2) {log_(x_3).........log_(x_n) (x_n)^(x_(r=i))}]

For x > 1 , the minimum value of 2 log_10(x)-log_x(0.01) is

Find the value of x satisfying log_a{1+log_b{1+log_c(1+log_px)}}=0 .

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Single Option Correct Type Questions)
  1. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

    Text Solution

    |

  2. There exists a positive number k such that log2x+ log4x+ log8x= logkx...

    Text Solution

    |

  3. If x1,x2 & x3 are the three real solutions of the equation x^(log10^2...

    Text Solution

    |

  4. If f(n)=prod(i=2)^(n-1)logi(i+1), the value of sum(k=1)^100f(2^k) equa...

    Text Solution

    |

  5. If x-1/x=m then the value of x^3-1/x^3 is :

    Text Solution

    |

  6. In Which quadrant Point (-2,3) will be lie.

    Text Solution

    |

  7. Solve for x if x(x-4)= -4

    Text Solution

    |

  8. If xn > x(n-1) > ..........> x3 > x1 > 1. then the value of log(x1) [...

    Text Solution

    |

  9. If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove th...

    Text Solution

    |

  10. If y = a^(1/(1-log(a) x)) and z = a^(1/(1-log(a)y))",then prove that ...

    Text Solution

    |

  11. If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), then x lies in the interval (...

    Text Solution

    |

  12. The value of a^x-b^y is (wherex=sqrt(logab)and y=sqrt(logba),agt0,bgt0...

    Text Solution

    |

  13. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  14. The value of a^((logb(logbN))/(logb a)), is

    Text Solution

    |

  15. Find the value of 49^((1-log7(2)))+5^(-log5(4) is

    Text Solution

    |

  16. The number of real values of the parameter k for which (log(16)x)^(2) ...

    Text Solution

    |

  17. Solve the equation x^(log(x)(x+3)^(2))=16.

    Text Solution

    |

  18. The point on the graph y=log2log6{2^sqrt(2x+1)+4} whose y coordinate i...

    Text Solution

    |

  19. Find dy/dx ,if 2x^2-xy+4y^2 = 200

    Text Solution

    |

  20. The values of x, satisfying the equation for AA a > 0, 2log(x) a + lo...

    Text Solution

    |