Question

Prove that:

$\log \frac{a^2}{bc}+\log \frac{b^2}{ac}+\log \frac{c^2}{ab}=0$.

Answer 1

Now,

$\log \frac{a^2}{bc}+\log \frac{b^2}{ac}+\log \frac{c^2}{ab}$

$=\{\log a^2-\log (bc\left)\right\}+\{\log b^2-\log (ac\left)\right\}+\{\log c^2-\log (ab\left)\right\}$

$=2\log a+2\log b+2\log c-2(\log a+\log b+\log c)$ [ Using product rule for logarithm]

$=0$