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x lnx - 30 + 5 lnx - 6x = 0

  • math -

    Are you supposed to solve for x?

    (5+x)ln x - 6x = 30

    That looks to me like a transcendental equation that will have to be solved by iteration or graphing.
    Try different values of x on the left side until you get +30.
    If x = 0.01, (5+x)ln x - 6x = -23.12
    If x = 0.05, (5+x)ln x - 6x = -15.4
    If x = 0.1, (5+x)ln x - 6x = -12.3
    If x = 1, (5+x)ln x - 6x = -6.0
    If x = 2, (5+x)ln x - 6x = -7.15
    If x = 10, (5+x)ln x - 6x = -25.6
    If x = 20, (5+x)ln x - 6x = -45.1
    It looks like there is no value of x for which the equation is valid.

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