Home
Class 11
MATHS
The sixth term in the expansion of ( sqr...

The sixth term in the expansion of `( sqrt(2^(log(10-3^x))) + (2^((x-2)log3))^(1/5))^m` is equal to 21, if it is known that the binomial coefficient of the 2nd 3rd and 4th terms in the expansion represent, respectively, the first, third and fifth terms of an A.P. (the symbol log stands for logarithm to the base 10) The value of m is

Text Solution

Verified by Experts

The correct Answer is:
x = 0 or 2
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise EXERCISE|9 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the binomial coefficient of (2r+4)^(th) term and (r-2)^(th) term in the expansion of (1+x)^(21) are equal, then the value of r equals

If the 6th term in the expansion of [(1)/(x^((8)/(3)))+x^(2)log_(10)x]^(8) is 5600, then x=