Answer
$x = -0.602$
Work Step by Step
$-4 +3e^{-2x} = 6$
$3e^{-2x} = 10$
$e^{-2x} = \frac{10}{3}$
$-2x = \ln(\frac{10}{3})$
$x = \frac{ \ln(\frac{10}{3})}{-2}$
by GDC / calculator
$x = -0.601986...$
$x = -0.602$
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