Home
Class 12
MATHS
If the third term in the expansion of [...

If the third term in the expansion of `[x+x^(log_(10)x)]^(5)` is `10^(6)`, then x may be

A

1

B

`sqrt(10)`

C

10

D

`10^(-2//5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION-PAPERS-2015

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

  • QUESTION-PAPERS-2017

    BITSAT GUIDE|Exercise MATHEMATICS |45 Videos

Similar Questions

Explore conceptually related problems

If the third term in the expansion of (1/x + x^(log_(10) x) )^5 is 100, find x .

If the third term in the expansion of ((1)/(x)+_(x)log_(10x))^(5) is 1000, then find x

Knowledge Check

  • If the third in the expansion of [x + x^(logx)]^(6) is 10^(6) , then x (x>1) may be

    A
    1
    B
    10
    C
    `10^(-5//2)`
    D
    102

  • The third term in the expansion of ((1)/(x)+x^(log_(10)x))^(5), x gt 1 is 1000, then x equals

    A
    100
    B
    10
    C
    1
    D
    `1//sqrt(10)`

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

    A
    1
    B
    `log_(e )10`
    C
    10
    D
    x does not exist

    • Similar Questions

    Explore conceptually related problems

    If the fourth term in the expansion of ( x + x^(log_(2) x ))^(7) is 4480 , then the value of x where x in N is equal to :

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

    If the 6 th term in the expansion of ((1)/(x^((8)/(3)))+x^(2)log_(10)x)^(8) is 5600, then x equals 1 b.log_(e)10 c.10 d.x does not exist

    If the third term in the binomial expansion of (1+x^(log_(2)x))^(5) equals 2560, then a possible value of x is:

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

    Home
    Profile