Home
Class 12
MATHS
For what value of x is the ninth term in...

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`

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

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

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

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 constant term in the expansion of (x+log_(e)(1-x))/(x^(3)) is

The value of x, for which the ninth term in the expansion of {sqrt(10)/((sqrt(x))^(5log _(10)x ))+ x.x^(1/(2log_(10)x))}^(10) is 450 is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. There are two groups of subjects, one of which consists of 5 science ...

    Text Solution

    |

  2. Let A be an mxxn matrix. If there exists a matrix L of type nxxm such ...

    Text Solution

    |

  3. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

  4. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  5. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  6. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

    Text Solution

    |

  7. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  8. There are N + 1 identical boxes each containing N wall clocks. r^(th) ...

    Text Solution

    |

  9. If f(theta)=(s intheta+cos e ctheta)^2+(costheta+s e ctheta)^2 then mi...

    Text Solution

    |

  10. Write of the following statements as true and false:- The set of rats...

    Text Solution

    |

  11. If x=7+5sqrt(2)3-1/(7+5sqrt(2)3) , then the value of x^3+3x-14 is equa...

    Text Solution

    |

  12. Triangle O A B is isosceles right triangle right angled at OdotO is...

    Text Solution

    |

  13. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  14. If x=prod(n=1)^(2000)n , then the value of the expression, 1/(1/((log...

    Text Solution

    |

  15. Which of the folowing stotements ure true ? (i) The set of all rectang...

    Text Solution

    |

  16. Prove that a^x-b^y=0\ w h e r e\ x="\ "sqrt(("log")a b)\ &\ y=sqrt((lo...

    Text Solution

    |

  17. Which of the following is greater? 9/(sqrt(11)-sqrt(2)),9/(3sqrt(3))

    Text Solution

    |

  18. If A1, A2 be two A.M. and G1, G2 be two G.M.s between aa n db ...

    Text Solution

    |

  19. Which of the following are sets? Justify your answer. (i)  The coll...

    Text Solution

    |

  20. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

    Text Solution

    |