Answer
$x\approx1.841$
Work Step by Step
Isolate the exponential term on one side. Then take the log of both sides, and then use the power property.
$17(1.9)^x=55.4$
$1.9^x=\frac{55.4}{17}$
$x\log1.9=\log\frac{55.4}{17}$
$x=\frac{\log\frac{55.4}{17}}{\log1.9}$
$x\approx1.841$
