How do you solve $ln 3 x = 5$ $ln3x=5$ ?

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Answer 1 · 2016-10-12T10:54:48

$x = \frac{e^{5}}{3} = 49.471$ $x=e^5/3=49.471$

In $ln 3 x = 5$ $ln3x=5$ , $ln$ $ln$ refers to Napier logarithm i.e. to base $e$ $e$

Hence, using definition of logarithm we have

$3 x = e^{5}$ $3x=e^5$

or $x = \frac{e^{5}}{3} = \frac{148.413}{3} = 49.471$ $x=e^5/3=148.413/3=49.471$

How do you solve ln3x=5ln3x=5?