How do you solve $ln 3 x = 2$ $ln3x=2$ ?

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Answer 1 · 2016-11-03T05:07:42

$x = 2.463$ $x=2.463$

From the definition of natural logarithm if $e^{a} = b$ $e^a=b$ , we have $ln b = a$ $lnb=a$ .

Hence $ln (3 x) = 2$ $ln(3x)=2$ means $e^{2} = 3 x$ $e^2=3x$

or $x = \frac{e^{2}}{3} = \frac{7.389}{3} = 2.463$ $x=e^2/3=7.389/3=2.463$

How do you solve ln3x=2ln3x=2?