Answer
$x\approx 1.74$
Work Step by Step
RECALL:
$\ln{e^x} = x$
Use the rule above to obtain:
$\ln{(e^x)}=\ln{5.7}
\\x = \ln{5.7}$
Use a scientific calculator to obtain:
$x =1.740466175
\\x\approx 1.74$
The solution set is $\left\{{1.74}\right\}$.