Question 16
Evaluate
$$\frac1{\log_2(12\sqrt5)}+\frac1{\log_3(12\sqrt5)}+\frac1{\log_4(12\sqrt5)}+\frac1{\log_5(12\sqrt5)}+\frac1{\log_6(12\sqrt5)}.$$
$$\frac1{\log_2(12\sqrt5)}+\frac1{\log_3(12\sqrt5)}+\frac1{\log_4(12\sqrt5)}+\frac1{\log_5(12\sqrt5)}+\frac1{\log_6(12\sqrt5)}.$$