Question 1019230
{{{ ( ln(x) )^2 = 3 }}}
Take the square root of both sides
{{{ ln(x) = sqrt(3) }}}
Now use the inverse:
{{{ e^sqrt(3) = x }}}
{{{ x = 5.652 }}}
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check:
{{{ ( ln(x) )^2 = 3 }}}
{{{ ( ln(5.652) )^2 = 3 }}}
{{{ 1.732^2 = 3 }}}
{{{ 2.9998 = 3 }}}
( error due to rounding off )
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Note that if I had taken the negative
{{{ sqrt(3) }}}, 
{{{ e^(-sqrt(3)) = x }}}
{{{ e^(-1.732 ) = x }}}
{{{ x = .1769 }}}
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check:
{{{ ( ln(x) )^2 = 3 }}}
{{{ ( ln(.1769) )^2 = 3 }}}
{{{ ln( .1769 ) = -sqrt(3) }}}
{{{ -1.732 = -sqrt(3) }}}
square both sides
{{{ 3 = 3 }}}
OK so, both answers are good