How do you solve $2 ln x = 1$ ?

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Answer 1 · 2016-03-07T14:54:25

$x=sqrt(e)$

Isolate the logarithm

$ln(x)=1/2$

$ln(x)$ is the natural logarithm, i.e.: it has base $e$ , so take the exponential of both sides to get rid of the log

$e^(ln(x))=e^(1/2)$
$x=e^(1/2)$

And there you go, if you prefer, you can remember that $a^(1/2) = sqrt(a)$ , so you can also rewrite that to

$x=sqrt(e)$

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