Home
Class 11
MATHS
If p >1 and q >1 are such that log(p+q)=...

If `p >1` and `q >1` are such that `log(p+q)=logp+logq ,`then the value of `log(p-1)+log(q-1)` is equal to (a) 0 (b) 1 (c) 2 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

If p >1a n dq >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+"log"(q-1) is equal to 0 (b) 1 (c) 2 (d) none of these

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

The value of 3^((log)_4 5)-5^((log)_4 3) is 0 (b) 1 (c) 2 (d) none of these

lim_(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) none of these

The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d. none of these

If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)_d a+(log)_b d+(log)_a c+(log)_c b is (a) 4 (b) 2 (c) 1 (d)none of these

If (log)_e4=1. 3868 , then (log)_e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.3893 (d) none of these

If p = log 20 and q = log 25, find the value of x, if 2 log(x + 1) = 2p - q.

If a ,\ b ,\ c are pth, qth and rth terms of a GP, the |loga p1logb q1logc r1| is equal to- log\ a b c b. 1 c. 0 d. p q r

If (2)/(b)=(1)/(a)+(1)/(c) ,then the value of (log(a+c)+log(a-2b+c))/(log(a-c)) is

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If a , b , c are consecutive positive integers and (log(1+a c)=2K , th...

    Text Solution

    |

  2. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

    Text Solution

    |

  3. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

    Text Solution

    |

  4. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is 2 (b) 3 ...

    Text Solution

    |

  5. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

    Text Solution

    |

  6. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

    Text Solution

    |

  7. There exists a natural number N which is 50 times its own logarithm t...

    Text Solution

    |

  8. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

    Text Solution

    |

  9. Find the number of solutions of equation (2x-3)2^x=1

    Text Solution

    |

  10. Find the value of (log)(2sqrt(3))1728.

    Text Solution

    |

  11. Prove that 1/3<(log)(10)3<1/2dot

    Text Solution

    |

  12. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

    Text Solution

    |

  13. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

    Text Solution

    |

  14. Solve: |x-3|^(3x^2-10 x+3)=1

    Text Solution

    |

  15. Find the smallest integral value of x satisfying (x-2)^(x^2-6x+8))&gt...

    Text Solution

    |

  16. The least value of the expression 2(log)(10)x-(log)x(0.01)dot for x &...

    Text Solution

    |

  17. The solution of the equation (log)7(log)5(sqrt(x+5)+sqrt(x)=0 is...

    Text Solution

    |

  18. Let (x0, y0) be the solution of the following equations: (2x)^(1n2)=(3...

    Text Solution

    |

  19. If In(a+c),ln(a-c),ln(a-2b+c) are in AdotPdot, then a , b , c ,a r ...

    Text Solution

    |

  20. Prove that number (log)2 7 is an irrational number.

    Text Solution

    |