How do you solve $18=e^(3x)$ ?

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Answer 1 · 2016-12-24T14:14:00

$x = 0.963 ( 3 s.f.)$

$18 = e^(3x)$

convert into a logarithmic function:

e.g. $log_10(100)=2$
$-> 10^2 = 100$

$18 = e^(3x)$
$-> log_e(18) = 3x$

$log_e(n) = ln(n)$

enter $-> ln(18)$ into a calculator:

$-> ln(18) = 2.89037..$

$3x = 2.8903717578961647$

divide this answer by $3$ :

$x = 0.963 ( 3 s.f.)$

How do you solve 18=e^(3x)18=e^(3x)?