Home
Class 12
MATHS
If (log)a b=2,(log)b c=2a n dlog3c=(log)...

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`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 (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 x=(log)_k b=(log)_b c=1/2(log)_c d , then (log)_k d is equal to 6x (b) (x^3)/2 (c) 2x^3 (d) 2x^8

If x=(log)_k b=(log)_b c=1/2(log)_c d , then (log)_k d is equal to (a) 6x (b) (x^3)/2 (c) 2x^3 (d) 2x^8

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

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] a n d B=d i ag(2,3,5) , then t...

    Text Solution

    |

  2. If y=f(x) has following graph, then match the column.

    Text Solution

    |

  3. If (log)a b=2,(log)b c=2a n dlog3c=(log)3a+3,t h e n(a+b+c) is equal t...

    Text Solution

    |

  4. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

    Text Solution

    |

  5. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  6. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  7. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |

  8. If the graph of the function y = f(x) is as shown : the graph of ...

    Text Solution

    |

  9. The graph of y=|f(x)| is as shown in the following figure Fig Graph of...

    Text Solution

    |

  10. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

    Text Solution

    |

  11. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

    Text Solution

    |

  12. If x^2-(a-3)x+a=0 has atleast one positive root then 'a' belong to

    Text Solution

    |

  13. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  14. If cos e c^(-1)(cos e cx)a n dcos e c(cos e c^(-1)x) are equal functio...

    Text Solution

    |

  15. If alpha, beta are the roots of the equation x^(2) - 2x + 3 = 0. Then ...

    Text Solution

    |

  16. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  17. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

    Text Solution

    |

  18. If (1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n , the...

    Text Solution

    |

  19. Let g(x)=f(x)-1. If f(x)+f(1-x)=2AAx in R , then g(x) is symmetrical ...

    Text Solution

    |

  20. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |