# How do you solve ln3x=2?

Nov 3, 2016

$x = 2.463$
From the definition of natural logarithm if ${e}^{a} = b$, we have $\ln b = a$.
Hence $\ln \left(3 x\right) = 2$ means ${e}^{2} = 3 x$
or $x = {e}^{2} / 3 = \frac{7.389}{3} = 2.463$