Question

Alguém ajudaaaa, melhor explicação ​

Answer 1

Propriedades básicas de logaritmos:

    $\log_a(b.c)=\log_ab+\log_ac$

    $\log_a\frac{b}{c}=\log_ab-\log_ac$

    $\log_ab^c=c.\log-ab$

    $a^{\log_ab}=b$

$\log(\frac{a\sqrt{b}}{c^3})\\\\\log(\frac{a.b^\frac{1}{2}}{c^3})\\\\\log(a.b^\frac{1}{2})-\log c^3$

$\log a+\log b^\frac{1}{2}-\log c^3\\\\\log a+\frac{1}{2}\log b-3.\log c$

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$\log_a(m^3n^2)\\\\\log_am^3+\log_an^2\\\\3.\log_am+2.\log_an\\\\3.11+2.6\\\\45$

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$\log 72\\\\\log 2^3.3^2\\\\\log2^3+\log3^2\\\\3.\log2+2\log3\\\\3a+2b$

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$\log_aA=2.\log_ac-\frac{1}{3}\log_ad\\\\\log_aA=\log_a{\frac{c^2}{d^\frac{1}{3}}}\\\\a^{\log_aA}=a^{\log_a{\frac{c^2}{d^\frac{1}{3}}}}\\\\A=\frac{c^2}{\sqrt[3]{d}}$