Home
Class 12
MATHS
If (log)a b=2,(log)b c=2 and (log)3c=(lo...

If `(log)_a b=2,(log)_b c=2` and `(log)_3c=(log)_3a+3,` then `(a+b+c)` is equal to `93` (b) 102 (c) 90 (d) 243

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If (log)_a b=2,(log)_b c=2a n dlog_3c=(log)_3=(log)_3a+3,t h e n(a+b+c) is equal to 93 b. 102 c. 90 d. 243

log_(a)b=2,log_(b)c=2 and log_(3)c=3+log_(3)a then (a+b+c)=?

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 x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

If (a+(log)_(4)3)/(a+(log)_(2)3)=(a+(log)_(8)3)/(a+(log_(4)3)=b, then b is equal to (1)/(2)(2)(2)/(3)( c) (1)/(3)( d ) (3)/(2)

If ("log"a)/(3) = ("log"b)/(4) = ("log"c)/(5) , then ca equals

If (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b) then a^(a)*b^(b)*c^(c)=

(log)_(2)(log)_(2)(log)_(3)(log)_(3)27^(3) is 0 b.1 c.2 d.3

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c dot

RESONANCE DPP-JEE MAINS-All Questions
  1. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  2. int\ (x+1)/(x(1+x \ e^x)^2) \ dx equals

    Text Solution

    |

  3. If (log)a b=2,(log)b c=2 and (log)3c=(log)3a+3, then (a+b+c) is equal ...

    Text Solution

    |

  4. Number of integral solutions of the equation (log)(x-3)((log)(2x^2-2x+...

    Text Solution

    |

  5. If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval ...

    Text Solution

    |

  6. If the matrix satisfies the equation [1-2 4 3]+2x=[2 1-2 0 1 3][3 2 1 ...

    Text Solution

    |

  7. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |

  8. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  9. If A=" "{3," "5," "7," "9," "11} , B" "=" "{7," "9," "11 ," "13} , C" ...

    Text Solution

    |

  10. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is -6...

    Text Solution

    |

  11. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  12. Let N=(4^5+4^4+4^4+4^4)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

    Text Solution

    |

  13. If | vec a|=2,| vec b|=5a n d vec adot vec b=0, then vec ax( vec ax( ...

    Text Solution

    |

  14. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to 6x (b)...

    Text Solution

    |

  15. If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...

    Text Solution

    |

  16. The number of solution of the equation, log(-2x)=2"log"(x+1) is: zero ...

    Text Solution

    |

  17. Let vec a=2 hat i+ hat j+ hat k , hat b= hat i+2 hat j- hat k and a ...

    Text Solution

    |

  18. If (log)3x=a and (log)7x=b , then which of the following is equal to (...

    Text Solution

    |

  19. If a unit vector hat a in the plane of vec b=2 hato+ hat j& vec c= h...

    Text Solution

    |

  20. The solution set of the inequality max {1-x^2,|x-1|}<1 is (-oo,0)uu(1,...

    Text Solution

    |