Home
Class 14
MATHS
If log(30) 3 = a and log(30) 5 = b what ...

If `log_(30) 3 = a and log_(30) 5 = b` what is the value of `log_(30)8` ?

A

(A)3(1 + a + b)

B

(B)3(1 - a + b)

C

(C)3 (1 +a - b)

D

(D)3(1 - a- b)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • LIMIT

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |43 Videos
  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos

Similar Questions

Explore conceptually related problems

What is the value of log_(2)(log_(3)81) ?

If log_(4)5=a and log_(5)6=b then what is the value of log_(3)2

If log_(2)(a^(3)b)=x and log_(2)((3a)/(b))=y what is the value of log_(2)a ?

What is the value of log_(9)(27)+log_(8)(32)

If log_(10)3=x and log_(30)5=y , then log_(30)8 is equal to

PUNEET DOGRA-LOGARITHM-PREVIOUS YEAR QUESTIONS
  1. If log(30) 3 = a and log(30) 5 = b what is the value of log(30)8 ?

    Text Solution

    |

  2. If x^(log(7)x)gt7 where x gt 0. Then what is the domain of x ?

    Text Solution

    |

  3. If f(x) = log(10) (1 + x) than what is 4f (4) + 5f(1) - log(10)2 equal...

    Text Solution

    |

  4. f(x) = log(x) 10 is defined in the domain

    Text Solution

    |

  5. Find the value of sqrt(7sqrt(7sqrt(7sqrt(7sqrt(7sqrt(7))))))

    Text Solution

    |

  6. Compute log(9) 27 + log(8) 32

    Text Solution

    |

  7. If (0.2)^(x) = 2 and log(10) 2 = 0.3010, then what is the values of x ...

    Text Solution

    |

  8. If x + log(15) (1 + 3^(x))= x log(15) 5 + log(15) 12, where x is an in...

    Text Solution

    |

  9. If = (2017) ! Then what is (1)/(log(2)n)+(1)/(log(3)n) + (1)/(log(4...

    Text Solution

    |

  10. What is (1)/(log(2)N)+(1)/(log(3)N)+(1)/(log(4)N)+......(1)/(log(100)N...

    Text Solution

    |

  11. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then x is equal to

    Text Solution

    |

  12. Find the value of 1/(log(3)e) + 1/(log(3)e^(2)) + 1/(log(3)e^(4))+………....

    Text Solution

    |

  13. It is given that the roots of the equaion x^(2) - 4x - log(3) P = 0 ar...

    Text Solution

    |

  14. Simplify:- 700 ÷ 70 ÷ 0.5 =?

    Text Solution

    |

  15. Simplify:- 55 ÷ 5.5 - 0.5 = ?

    Text Solution

    |

  16. Simplify:- (5*5*5*5*5*5)^4 * (5*5)^6 ÷ (5)^2 = (25)^?

    Text Solution

    |

  17. What is log(81) 243 equal to ?

    Text Solution

    |

  18. What is the value of 2 log(8) 2-(1)/(3) log(3) 9?

    Text Solution

    |

  19. If (log(x)x)(log(3)2x)(log(2x)y)=log(x^(x^(2)), then what is the val...

    Text Solution

    |

  20. What is the value of log(2) (log(3) 81) ?

    Text Solution

    |

  21. What is log(a+sqrt(a^(2)+1))+log((1)/(a+sqrt(a^(2)+1))) is equal to ?

    Text Solution

    |