Answer
$x \approx 21.035$
Work Step by Step
$-5(1.4)^{x} - 548 = -6475$
$-5(1.4)^{x} = -6475 + 548$
$-5(1.4)^{x} = -5927$
$(1.4)^{x} = 1185.4$
$x = \log_{1.4} (1185.4)$
$x = \frac{\log 1185.4}{\log 1.4}$
by GDC / calculator
$x = 21.0354...$
$x \approx 21.035$