Question

socorro, preciso de ajuda

Answer 1

Resposta:

$log_{c}( \frac{ {a}^{2} . \sqrt{b. {c}^{2} } }{ {b}^{2} } ) \\ \\ = log_{c}{a}^{2} + log_{c} \sqrt{b. {c}^{2} } - log_{c}{b}^{2} \\ \\ = 2 log_{c}a + log_{c} {(b. {c}^{2}) }^{ \frac{1}{2} } - 2.log_{c}b \\ \\ = 2 log_{c}a + \frac{1}{2} (log_{c} {b } + log_{c} {c}^{2} )- 2.log_{c}b \\ \\ = 2 log_{c}a + \frac{1}{2} log_{c} {b } + log_{c} c- 2.log_{c}b\\ \\ = 2.3 + \frac{1}{2}.4+ 1 - 2.4\\ \\ = 6+2+ 1 -8 \\\\ = 1$