Question 10Given that $a=\log_2 3$, $b=-\log_4 5$ and $c=-\log_2 3+\log_4 5$, find the value of $$\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}.$$