Show that a^2 bc + b^2 ca + c^2 ab =0 - Vidyadip

Question

Show that $\log \frac{\mathrm{a}^2}{\mathrm{bc}}+\log \frac{\mathrm{b}^2}{\mathrm{ca}}+\log \frac{\mathrm{c}^2}{\mathrm{ab}}=0$

✓

Answer

$
\begin{aligned}
\text { L.H.S. } & =\log \frac{a^2}{b c}+\log \frac{b^2}{c a}+\log \frac{c^2}{a b} \\
& =\log \left(\frac{a^2}{b c} \times \frac{b^2}{c a} \times \frac{c^2}{a b}\right) \\
& =\log \left(\frac{a^2 b^2 c^2}{a^2 b^2 c^2}\right)=\log 1=0=\text { R.H.S. }
\end{aligned}
$

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