Question 12
Suppose that $a,b,c$ are real numbers greater than $1$. Find the value of
$$\frac1{1+\log_{a^2b}(c/a)}+\frac1{1+\log_{b^2c}(a/b)}+\frac1{1+\log_{c^2a}(b/c)}.$$
$$\frac1{1+\log_{a^2b}(c/a)}+\frac1{1+\log_{b^2c}(a/b)}+\frac1{1+\log_{c^2a}(b/c)}.$$