Home
Class 11
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.

Answer

Step by step text solution for 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. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|221 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

Similar Questions

Explore conceptually related problems

Find the 6th term in the expansion of (3x^2-1/3x)^8

Find the 13th term in the expansion of (9x -1/(3sqrt(x))^(18), x ne 0)

Knowledge Check

  • The number of non-zero terms in the expansion of (1+ 3sqrt(2)x)^(9) +(1-3sqrt(2)x)^(9) is:

    A
    9
    B
    0
    C
    5
    D
    10

    • Similar Questions

    Explore conceptually related problems

    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 a. 4 b. 1or2 c. 0or1 d. 3

    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

    Solve the following inequation . (v) 3^(log_3sqrt((x-1)))lt3^(log_3(x-6))+3

    If x=1/3 , then the greatest term in the expansion of (1+4x)^8 is the :

    Find the coefficient of x^(7) in the expansion of (1+3x-2x^(3))^(10) .

    The function f(x) = log_e(x^3 + sqrt(x^6 +1)) is

    Find the term independent of x in the expansion of (root(3)(x) + 1/(2root(3)(x)))^(18)

    Home
    Profile