Answer
$x\approx0.72$
Work Step by Step
Use the definition of the natural log function to solve for $x$. Rewrite the problem so that the base has the exponent of the opposite side and is equal to the log's number and/or variable.
$7+3\ln x=6$
$3\ln x=-1$
$\ln x=-\frac{1}{3}$
$e^{-\frac{1}{3}}=x$
$x\approx0.72$