Question

Dado log 2 = 0,30 e log 3 = 0,48 calcule log


$\sqrt[4]{125}$

Answer 1

$log\sqrt[4]{125}\\\\log\sqrt[4]{5^3}\\\\log\,5^{\frac{3}{4}}\\\\Utilizando\;a\;propriedade:\;log\,a^c=c.log\,a\\\\\frac{3}{4}.log\frac{10}{2}\\\\Utilizando\;a\;propriedade:\,log\frac{a}{c}=log\,a-log\,c\\\\\frac{3}{4}(log10 - log2)\\\\\frac{3}{4}(1 -0,30)\\\\\frac{3}{4}\;.\;0,7\\\\0,525$