#### Answer

$x\approx1917.0963$

#### Work Step by Step

Divide both sides by 5.
$(1.024)^{x-1900}=\frac{9}{6}$
Take the logarithm of both sides.
$(x-1900)\log1.024=\log\frac{3}{2}$
Divide both sides by
$\log1.024$ and solve for $x$.
$x=1900+\frac{\log\frac{3}{2}}{\log1.024}\approx1917.0963$