How do you solve $7 + 3 ln x = 5$ $7+3lnx=5$ ?

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Answer 1 · 2017-01-19T13:04:51

$x = e^{- \frac{2}{3}} = 0.51342$ $x=e^(-2/3)=0.51342$

$7 + 3 ln x = 5$ $7+3lnx=5$ can be written as

$7 + 3 ln x - 7 = 5 - 7$ $7+3lnx-7=5-7$

or $3 ln x = - 2$ $3lnx=-2$

or $ln x = - \frac{2}{3}$ $lnx=-2/3$

i.e. $x = e^{- \frac{2}{3}} = 0.51342$ $x=e^(-2/3)=0.51342$ (using a scientific calculator)

How do you solve 7+3lnx=57+3lnx=5?