5 log50 - 2 log3 - 5 log2 + 2 log48

[tex] {}^{5} log50 - {}^{2} log3 - {}^{5} log2 + {}^{2} log48 \\ = {}^{5} log( \frac{50}{2} ) + {}^{2} log( \frac{48}{3} ) \\ = {}^{5} log25 + {}^{2} log16 \\ = {}^{5} log {5}^{2} + {}^{2} log {2}^{4} \\ = 2 + 4 \\ = 6[/tex]