Problem (Algebra):
Let $T=650$. If $\log T=2-\log 2+\log k$, compute the value of $k$.

Solution:
Write $2=\log 100$ and use the well-known properties for the sum/difference of two logs to obtain $\log T=\log \left(\frac{100 k}{2}\right)$, hence $k=\frac{T}{50}$. With $T=650, k=13$.

Final answer: 13