Question

(FGV) Se 1/4log m^5 - 3/4log m = log (raiz de 3), m>0, o valor de m é ?

Answer 1

                $\dfrac{1}{4}\log m^5-\dfrac{3}{4}\log m=\log \sqrt{3}\\ \\ \\ \dfrac{5}{4}\log m-\dfrac{3}{4}\log m=\log \sqrt{3}\\ \\ \\ \dfrac{2}{4}\log m=\log 3^{1/2}\\ \\ \\ \dfrac{1}{2}\log m=\dfrac{1}{2}\log 3\\ \\ \\ \log m = \log 3\\ \\ \boxed{m=3}$

Answer 2

Oi Kaio

log(m^5)/4 - 3log(m)/4 = log(√3)

log(m^5) - 3log(m) = 4log(√3) = log(9) = 2log(3)

5log(m) - 3log(m) = 2log(3)

2log(m) = 2log(3)

m = 3