Home
Class 12
MATHS
If (log)3x=a and (log)7x=b , then which ...

If `(log)_3x=a` and `(log)_7x=b ,` then which of the following is equal to `(log)_(21)x ?` `a b` (b) `(a b)/(a^(-1)+b^(-1))` `1/(a+b)` (d) `1/(a^(-1)+b^(-1))`

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_(3)x=aand(log)_(7)x=b, then which of the following is equal to (log)_(21)x? a.ab b.(ab)/(a^(-1)+b^(-1)) c.(1)/(a+b) d.(1)/(a^(-1)+b^(-1))

If (log x)/(b-c)=(log y)/(c-a)=(log z)/(a-b), then which of the following is/are true? zyz=1 (b) x^(a)y^(b)z^(c)=1x^(b+c)y^(c+b)=1( d) xyz=x^(a)y^(b)z^(c)

If log_(4)5=a and log_(5)6=b, then log_(3)2 is equal to (1)/(2a+1) (b) (1)/(2b+1)(c)2ab+1(d)(1)/(2ab-1)

If log_(2)7= a and log_(3)2=b ," then the value of log_(14)84 is : (A) (1+3b+2ab)/(ab-b) (B) (1+2b+ab)/(b+ab) (C) (1+a+b)/(a+b) (D) (1+b+ab)/(a+ab)

If log_(b)2=a and log_(b)5=c ,where b>0 with b!=1 , then log_(b)500 is equal to which of the following

If (a^(log_b x))^2-5 a^(log_b x)+6=0, where a >0, b >0 & a b!=1, then the value of x can be equal to (a) 2^(log_b a) (b) 3^(log_a b) (c) b^(log_a2) (d) a^(log_b3)

(d)/(dx)[a tan^(-1)x+b log((x-1)/(x+1))]=(1)/(x^(4)-1)rArr a-2b=

If log_(10)2=a backslash and log_(10)3=b, then log_(5)12 equals a.(a+b)/(1+a) b.(2a+b)/(1+a) c.(a+2b)/(1+a)d(2a+b)/(1-a)

If a>1,b>1, then the minimum value of log_(b)a+log_(a)b is

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

RESONANCE DPP-JEE MAINS-All Questions
  1. The number of solution of the equation, log(-2x)=2"log"(x+1) is: zero ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: 1 (b) 2 ...

    Text Solution

    |

  7. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

    Text Solution

    |

  8. Number of solutions of the equation sin(1/3cos^(-1)x)=1 are only one ...

    Text Solution

    |

  9. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  10. Area of the triangle formed by the x+y=3 and angle bisectors of the pa...

    Text Solution

    |

  11. Solve the equation: (4sqrt(cos x/2)-5-(sqrt(2))/2)^2+ sqrt(2)(4sqrt(c...

    Text Solution

    |

  12. Which of the following is greatest? tan1 (b) tan4 (c) tan7 (d) tan1...

    Text Solution

    |

  13. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

    Text Solution

    |

  14. Find the equations of bi sectors of the angle between the lines 4x + 3...

    Text Solution

    |

  15. Let P (sin theta, cos theta) (0 le theta le 2pi) be a point and let OA...

    Text Solution

    |

  16. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  17. Statement-1 :Perpendicular from origin O to the line joining the point...

    Text Solution

    |

  18. STATEMENT-1 Three perpendicular bisectors of the sides of an acute a...

    Text Solution

    |

  19. The equation n s of the lines parallel to 5x-12 y+26=0 and at a distan...

    Text Solution

    |

  20. If alpha&beta are the roots of the quadratic equation a x^2+b x+c=0 ...

    Text Solution

    |