$\frac{log_7216\cdot log_67}{log_2384-log_224}$$=\frac{\log_7\left(2^3\cdot3^3\right)\cdot\frac1{\log_76}}{\log_2\frac{384}{24}}=\frac{3\cdot\log_76\cdot\frac1{\log_76}}{\log_216}=\frac34$