Answer
$x \approx 10.514$
Work Step by Step
$3(1.6)^{x} - 20 = 400$
$3(1.6)^{x} = 400 + 20$
$3(1.6)^{x} = 420$
$(1.6)^{x} = 140$
$x = \log_{1.6} (140)$
$x = \frac{\log 140}{\log 1.6}$
$x = 10.5140...$
$x \approx 10.514$
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