How do you solve $2 \cdot e^{x - 6} = 63$ $2*e^(x-6)=63$ ?

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How do you solve $2 \cdot e^{x - 6} = 63$ $2*e^(x-6)=63$ ?

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Answer 1 · 2016-09-30T11:50:39

$x = 9.45$ $x=9.45$ (to 2 decimal places)

Explanation:

If
$XXX 2 \cdot e^{x - 6} = 63$ $color(white)("XXX")2 * e^(x-6)=63$
then
$XXX e^{x - 6} = \frac{63}{2} = 31.5$ $color(white)("XXX")e^(x-6)=63/2=31.5$
and
$XXX x - 6 = ln (31.5) \approx 3.45$ $color(white)("XXX")x-6 = ln(31.5) ~~3.45$ (using a calculator)

$\Rightarrow x \approx 9.45$ $rArr x~~9.45$

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How do you solve $2 \cdot e^{x - 6} = 63$ $2*e^(x-6)=63$ ?

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How do you solve $2 \cdot e^{x - 6} = 63$ $2*e^(x-6)=63$ ?