How do you solve for x in $1000 = 20 e^{\frac{x}{4}}$ $1000 = 20e^(x/4)$ ?

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Answer 1 · 2016-04-09T11:57:44

$x = 15.648$ $x=15.648$

$1000 = 20 \cdot e^{\frac{x}{4}}$ $1000=20*e^(x/4)$ or $e^{\frac{x}{4}} = \frac{1000}{20} = 50$ $e^(x/4)=1000/20=50$

Taking log with base $e$ $e$ of both sides gives us,

$\frac{x}{4} = ln 50 = 3.912$ $x/4=ln50=3.912$

and $x = 3.912 \times 4 = 15.648$ $x=3.912xx4=15.648$

How do you solve for x in 1000=20ex41000 = 20e^(x/4)?