Home
Class 12
MATHS
IF x = log(2a)a, y = log(3a) 2a , z = lo...

IF `x = log_(2a)a, y = log_(3a) 2a , z = log_(4a)3a`, then the value of `xyz + 1` is

A

2yz

B

2zx

C

xyz

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster (For Cracking JEE)|20 Videos
  • LINEAR EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|30 Videos
  • MODEL SOLVED PAPER 2016

    ARIHANT PUBLICATION BIHAR|Exercise Questions|48 Videos

Similar Questions

Explore conceptually related problems

If p = log_(2a), a, q = log_(3a) 2a and r = log_(4a), 3a , then find the value of qr(2-p).

If x=log_(2a)a,y=log_(3a)2a and z=log_(4a)3a then prove that xyz+1=2yz

If x=(log)_(2a)a,y=(log)_(3a)2a,z=(log)_(4a)3a, prove that 1+xyz=2yz

log_((1)/(4))z=log_(2)6,t, then the value of z is

If log_(2a)a=X,log_(3a)2a=y, and log_(4a)3a= z,then xyz-2yz is equal to

log_(8)y=-(1)/(log_(3)2), then the value of y is

Let log_(c)ab=x,log_(a)bc=y and log_(b)ca=z Find the value of (xyz-x-y-z)

ARIHANT PUBLICATION BIHAR-LOGARITHMS-Exam Booster (For Cracking JEE)
  1. IF x = log(2a)a, y = log(3a) 2a , z = log(4a)3a, then the value of xyz...

    Text Solution

    |

  2. log(5sqrt(5))5 is equal to

    Text Solution

    |

  3. The value of log(6) (216sqrt(6)) is

    Text Solution

    |

  4. the value of (0.05)^(log(sqrt(20))(0.1+0.01+0.001+....)

    Text Solution

    |

  5. If a= log(24) 12, b = log(36) 24, c = log(48) 36 , then 1 + abc is e...

    Text Solution

    |

  6. Evaluate: 81^(1//log(5)3) + 27^(log(9)36) + 3^(4//log(l)9)

    Text Solution

    |

  7. (log(8)17)/(log(9)23) - (log(2sqrt(2))17)/(log(3)23) is equal to

    Text Solution

    |

  8. If log(8)m+ "log"(8) (1)/(6)= (2)/(3), then m is equal to

    Text Solution

    |

  9. If log(2)x xx log(2)"" (x)/(16) + 4 = 0, then x is equal to

    Text Solution

    |

  10. If log x, log y and log z are in AP, then

    Text Solution

    |

  11. The value of (1)/(log(3)pi) + (1)/(log(4)pi) is

    Text Solution

    |

  12. If log(a)m= x, then "log"(1//a) (1)/(m) is equal to

    Text Solution

    |

  13. If f(a) = log"" (1 + a)/(1-a) then f((2a)/(1+a^(2))) is equal to

    Text Solution

    |

  14. The value of 7 "log"(a)(16)/(15)+5 "log"(a) (25)/(24) + 3"log"(a) (81)...

    Text Solution

    |

  15. Simplify: 1/(1+(log)a b c)+1/(1+(log)b c a)+1/(1+(log)c a b)

    Text Solution

    |

  16. If log ((a + b)/(2)) = (1)/(2) (log a + log b), then a is equal to

    Text Solution

    |

  17. (1 + log(n)m) * log(mn) x is equal to

    Text Solution

    |

  18. log(a)b = log(b)c = log(c)a, then a, b and c are such that

    Text Solution

    |

  19. If log (3+ 4 + k) = log 3 + log 4 + log k, then the value of k is

    Text Solution

    |

  20. If (log)(10)2=0. 30103 ,(log)(10)3=0. 47712 , then find the number of ...

    Text Solution

    |

  21. (log (x^(3) + 3x^(2) + 3x + 1))/(log (x^(2) + 2x + 1)) is equal to

    Text Solution

    |