Home
Class 11
MATHS
If (log)a b=2,(log)b c=2, and (log)3c=3+...

If `(log)_a b=2,(log)_b c=2,` and `(log)_3c=3+(log)_3a ,` then the value of `c//(a b)` is............

A

`2`

B

`3`

C

`-2`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
B
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 log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If (log)_a b=2,(log)_b c=2a n dlog_3c=(log)_3a+3,t h e n(a+b+c) is equal to 93 b. 102 c. 90 d. 243

if (a+log_4 3)/(a+log_2 3)= (a+log_8 3)/(a+log_4 3)=b then find the value of b

If (log)_a3=2 and (log)_b8=3 , then prove that (log)_a b=(log)_3 4.

log_(2)a = 3, log_(3)b = 2, log_(4) c = 1 Find the value of 3a + 2b - 10c

If a= log 2 0 log 3 , b = log 3 - log 5 and c= log 2.5 find the value of : 15^(a+ b+ c)

(log)_2(log)_2(log)_3(log)_3 27^3 is 0 b. 1 c. 2 d. \ 3

If x=(log)_k b=(log)_b c=1/2(log)_c d ,t h e n(log)_k d is equal to 6x b. (x^3)/2 c. 2x^3 d. 2x^8

If log_(a)3 = 2 and log_(b)8= 3 , then log_(a)(b) is-

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If (log)4A=(log)6B=(log)9(A+B),t h e n [4(B/A)] (where [ ] represent...

    Text Solution

    |

  2. The value of (log(10)2)^3+log(10)8log(10)5+(log(10)5)^3 is ..............

    Text Solution

    |

  3. If (log)a b=2,(log)b c=2, and (log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  4. The inequality sqrt(x^((log)2sqrt(x)))geq2 is satisfied by (A) only ...

    Text Solution

    |

  5. The value of (6a^((log)e b)((log)(a^2)b)((log)(b^2)a)/(e^((log)e a(log...

    Text Solution

    |

  6. If (log)(10)5=aa n d(log)(10)3=b ,t h e n (A) (log)(30)8=(3(1-a))/...

    Text Solution

    |

  7. The equation (log)(x+1)(x- .5)=(log)(x-0. 5)(x+1) has (A) two real s...

    Text Solution

    |

  8. Sum of all integral values of x satisfying the inequality (3^((5/2)log...

    Text Solution

    |

  9. The difference of roots of the equation ((log)(27)x^3)^2=(log)(27)x^6 ...

    Text Solution

    |

  10. Number of integers satisfying the inequality (log)(1/2)|x-3|>-1 is.......

    Text Solution

    |

  11. The number of elements in set of all x satisfying the equation x^(lo...

    Text Solution

    |

  12. Number of real values of x satisfying the equation log2(x^2-x)*log2((...

    Text Solution

    |

  13. Let a >1 be a real number. Then the number of roots equation a^(2(log)...

    Text Solution

    |

  14. Number of integers lt=10 satisfying the inequality 2(log)(1/2)(x-1)lt=...

    Text Solution

    |

  15. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

    Text Solution

    |

  16. The value of (log)(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9 is...........

    Text Solution

    |

  17. Find the value of (log)2(2 9 3-2)+(log)2(12 3 3+4+4 9 3)dot

    Text Solution

    |

  18. Find the number of solutions of the following equations: x^(-1/2)(log...

    Text Solution

    |

  19. Find the number of solution to equation (log)2(x+5)=6-x :

    Text Solution

    |

  20. Solve : 2(25)^x-5(10^x)+2(4^x)geq0.

    Text Solution

    |