Posted by **kk** on Thursday, February 19, 2009 at 4:53pm.

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

- math -
**drwls**, Thursday, February 19, 2009 at 7:50pm
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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