Answer
$x \approx -8$
Work Step by Step
$40(0.3)^{x} = 609663$
$0.3^{x} = \frac{609663}{40}$
$x = \log_{0.3} (\frac{609663}{40})$
by GDC / calculator
$x = -7.999...$
$x \approx -8$
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