Home
Class 12
MATHS
If a , b are co-prime numbers and satisf...

If `a , b` are co-prime numbers and satisfying `(2+sqrt(3))^(1/(log_a(2-sqrt(3)))+1/(log_b ((sqrt(3)-1)/(sqrt(3)+1))))=1/(12)` then `(a+b)` can be is equal to : 13 (b) 5 (c) 7 (d) 8

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

if a,b are coprime numbers and satisfying (2+sqrt(3))^(((1-sqrt(3)))/(log_(a)(2-sqrt(3)))+(13-1)/(sqrt(3)+1))=(1)/(12) then find the value of (a+b)

log(((a^(-1)sqrt(3))^((1)/(3)))/(sqrt(b^(3)sqrt(a))))

Let a=7^(1/(log_8 sqrt(343))) and b=11^(1/(log_5 sqrt11)), then

Find the value of b satisfying log_(sqrt(8))b=3(1)/(3)

The expression 1-(1)/(1+sqrt(3))+(1)/(1-sqrt(3)) equals 1-sqrt(3)(b)1(c)-sqrt(3)(d)sqrt(3)

(log sqrt(8))/(log8) is equal to a.(1)/(sqrt(8)) b.(1)/(4) c.(1)/(2) d.(1)/(8)

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c) has the value of equal to: a.1//2 b. 1 c.2 d. 4

If A=log_(sqrt(3))(sqrt(3sqrt(3sqrt(3sqrt(3)))))* then the value of log_(sqrt(2))(8A+1) is equal to

BANSAL-LOGARITHM-All Questions
  1. If N=(2^(log(70)9800))(5^(log(70)140))(7^(log(70)2)) then N is equal t...

    Text Solution

    |

  2. The expression q^((sqrt(6+sqrt(6+sqrt(6+....oo))))^(log3 p^([(logq(log...

    Text Solution

    |

  3. If a , b are co-prime numbers and satisfying (2+sqrt(3))^(1/(loga(2-s...

    Text Solution

    |

  4. If 2^((log2 3)^x)=3^((log3 2)^x) then the value of x is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |