Answer
$\{ 1917.096\}$
Work Step by Step
Step 1. Rewrite the equation as $(1.024)^{x-1900}=\frac{3}{2}$
Step 2. Take natural logarithm on both sides to get $(x-1900)\ ln(1.024)=ln\frac{3}{2}$, thus $x=1900+\frac{ln\frac{3}{2}}{ ln(1.024)}\approx1917.096$
Step 3. Write answer in set form $\{ 1917.096\}$