Question

Log a^2 /bc+Log b^2/ca+Log c^2/ab =0

Answer 1

Step-by-step explanation:

$log( \frac{ {a}^{2} }{bc} ) + log( \frac{ {b}^{2} }{ac} ) + log( \frac{ {c}^{2} }{ab} ) = 0\\ LHS = log( \frac{ {a}^{2} }{bc} ) + log( \frac{ {b}^{2} }{ac} ) + log( \frac{ {c}^{2} }{ab} ) \\ = log \{ \frac{ {a}^{2} }{bc} \times\frac { {b}^{2} }{ac} \times \frac{ {c}^{2} }{ab} \} \\ = log \{ \frac{ {a}^{2} }{ {a}^{2}} \times \frac{ {b}^{2} }{ {b}^{2} } \times \frac{ {c}^{2} }{ {c}^{2} } \}\\ = log \{1 \times 1 \times 1 \} \\ = log \: 1 \\ = 0 \\ = RHS \\ thus \: proved$