Question 14
If $a>b>1$ and
$$\frac1{\log_a b}+\frac1{\log_b a}=\sqrt{1229},$$
find the value of $\dfrac1{\log_{ab}b}-\dfrac1{\log_{ab}a}$.
$$\frac1{\log_a b}+\frac1{\log_b a}=\sqrt{1229},$$
find the value of $\dfrac1{\log_{ab}b}-\dfrac1{\log_{ab}a}$.