`2xln(1/x) - x = 0` Solve the equation algebraically. Round your result to three decimal places. Verify your answer using a graphing utility.

Textbook Question

Chapter 3, 3.4 - Problem 80 - Precalculus (3rd Edition, Ron Larson).
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kspcr111 | In Training Educator

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Given

`2xln(1/x) - x=0`

`x(2ln(1/x) -1)=0`

so now,

=> `x= 0 or 2ln(1/x) - 1 =0`

=>`2ln(1/x) - 1 =0`

=> `2ln(1/x) =1`

=> `ln(1/x) = 1/2`

=> `1/x = e^(1/2)`

=> `x = e^(-1/2) = 0.6065`

the graphs of

`2xln(1/x) - x=0` and

`y= 2xln(1/x) - x` are as follows

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