Home
Class 12
MATHS
The largest value of x for which the fou...

The largest value of `x` for which the fourth tem in the expansion `(5^2/3(log)_5sqrt(4^(x+44))+1/(5^(log)_5 2^((x-1)+7 3)))` is 336 is.

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

The largest value of x for which the fourth tem in the expansion (5((2)/(5))(log)_(5)sqrt(4^(x)+44)+(1)/(5^(log_(5))(2^((x-1)+7))^((1)/(3))))^(8) is 336 is.

The value of x for which for fourth term in the expansion of (5^(((2)/(5))log_(5)sqrt(4^(x)+44))+(1)/(5^(log_(5)root3(2^(x-1)+7))))^(8) is 336 can be equal to

The value of x for which the sixth term in the expansion of [2^(log)_2sqrt(9^((x-1)+7))+1/(2^1/5(log)_2(3^((x-1)+1)))]^7 is 84 is 4 b. 1or2 c. 0or1 d. 3

the value of x, for which the 6th term in the expansions of [2^(log_(2))(sqrt(9^((x-1)+7)))+(1)/(2^((1)/(5))(log)_(2)(3^(x-1)+1))]^(7) is equal to a.4 b.3 c.2 d.1

A possible value of 'x', for which the ninth term in the expansion of { 3 ^(log _(3) sqrt(25 ^(x - 1) + 7))+ 3 ^(((1)/(8))log_(3) ^((5^(x-1)+1)))}^(10) in the increasing powers of 3^((-(1)/(8))log_(3) ^((5^(x - 1)+1))) is equal to 180 is

For what value of x is the ninth term in the expansion of (3^(log_(3)sqrt(25^(x-1))+7)+3^(-(1)/(8)log_(3)(5^(x-1)+1)))^(10) is equal to 180

log_(0)5sqrt((x-4)/(x+3))

RESONANCE DPP-JEE MAINS-All Questions
  1. Two vertices of a rectangle are on the positive x-axis. The other two ...

    Text Solution

    |

  2. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  3. The largest value of x for which the fourth tem in the expansion (5^2/...

    Text Solution

    |

  4. The coordinate axes are roted about the origin O in the counterclockwi...

    Text Solution

    |

  5. Match the following column s: Column-I|Column-II Negation of (~ pvecq)...

    Text Solution

    |

  6. The sum underset(i=0)overset(3m)(sum)((20),(3m-i)), where ((p),(q))=0 ...

    Text Solution

    |

  7. Sum of the infinite series 1/(2!)+(1+2)/(3!)+(1+2+3)/(4!)+ tooo e/3 b...

    Text Solution

    |

  8. Find n in the binomial (2 3+1/(3 3))^n , if the ration 7th term from t...

    Text Solution

    |

  9. Sum the series from n=1ton=oo, whose nth term is 1/((n+1)!)

    Text Solution

    |

  10. Given the family of lines a (3x +4y+6)+b(x + y + 2) = 0 The line of th...

    Text Solution

    |

  11. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

    Text Solution

    |

  12. The coefficient of x^6 in series e^(2x) is 4/(25) b. 3/(45) c. 2/(45) ...

    Text Solution

    |

  13. If the chord y=mx+1, of the circle x^2+y^2=1 subtends an angle of meas...

    Text Solution

    |

  14. Find the sum of the coefficients of all the integral powers of x in th...

    Text Solution

    |

  15. Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3...

    Text Solution

    |

  16. The centre of the circle passing through (0, 0) and (1, 0) and touchin...

    Text Solution

    |

  17. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

    Text Solution

    |

  18. Prove that :(log)e((x+1)/x)=2[1/((2x+1))+1/(3(2x+1)^3)+1/(5(2x+1)^5)+]

    Text Solution

    |

  19. Two aeroplanes I and II bomb a target in succession. The probabilit...

    Text Solution

    |

  20. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |