Home
Class 12
MATHS
If a^(2) + b^(2) = 7ab, then the vlaue o...

If `a^(2) + b^(2) = 7ab`, then the vlaue of `log [(1)/(3) (a + b)]` is

A

`(1)/(2) log a log b`

B

`(1)/(2) log ab`

C

`(1)/(2) [log a+ log b]`

D

`(1)/(2) [log a- log b]`

Text Solution

Verified by Experts

The correct Answer is:
C
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 a^(2) + b^(2) = 7ab , then find the value of log_(2)((a+b)/(3))

If a^(2)+b^(2)=7ab then the value of is log((a+b)/(3))-(log a)/(2)-(log b)/(2)

If a^(2) + b^(2) = 7 ab , then log (( a + b)/(3 )) equals

if a^(2)+4b^(2)=12ab, then log(a+2b)

If 9a^(2)+4b^(2)=18ab, then log(3a+2b)=

If "log"_(a) ab = x, then the value of "log"_(b)ab, is

If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + log b) .

If log_(10)(ab^(3))=log_(10)(a^(2)b)=1, then the value of log_(10)(ab) is equal to

ARIHANT PUBLICATION BIHAR-LOGARITHMS-Exam Booster (For Cracking JEE)
  1. If a^(2) + b^(2) = 7ab, then the vlaue of log [(1)/(3) (a + b)] is

    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

    |