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

1 Answer

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

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

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)