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Solve the equation (1-2(logx^(2))^(2))/(...

Solve the equation `(1-2(logx^(2))^(2))/(logx-2(logx)^(2))=1`

A

`(1)/(sqrt(10))`

B

`(1)/(sqrt(20))`

C

`root(3)(10)`

D

`sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • int(logx)^(2)dx=?

    A
    `(2logx)/(x)+C`
    B
    `(1)/(3)(logx)^(3)+C`
    C
    `x(logx)^(2)-2xlogx+2x+C`
    D
    `x(logx)^(2)-2xlogx-2x+C`
  • int_(e)^(e^(2)) (1/logx-1/((logx)^(2)))dx=

    A
    `(e(e-1))/2`
    B
    `(-e(e-1))/2`
    C
    `(e(e-2))/2`
    D
    `(-e(e-2))/2`
  • e^(x+2logx)

    A
    `-(x^(2)+2x)e^(x)`
    B
    `(x^(2)+2x)e^(x)`
    C
    `(x^(2)-2x)e^(x)`
    D
    `-(x^(2)-2x)e^(x)`
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