Question

Log a2/bc+log b2/ab+log c2/ac

Answer 1

Answer:

0

Property Used

log M + log N = log (M×N) &

Value of log 1 to the base 10 is 0

Answer 2

SOLUTION

TO SIMPLIFY

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

EVALUATION

Here the given expression is

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

We simplify it as below

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

$\displaystyle \sf{ = \log \bigg( \frac{ {a}^{2} }{bc} \times \frac{ {b}^{2} }{ac} \times \frac{ {c}^{2} }{ab} \bigg)}$

$\displaystyle \sf{ = \log \bigg( \frac{ {a}^{2} {b}^{2} {c}^{2} }{ {a}^{2} {b}^{2} {c}^{2} } \bigg)}$

$\displaystyle \sf{ = \log 1}$

$\displaystyle \sf{ = 0}$

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