Question

Determine o conjunto verdade das equaçoes:
a)(2/3)x=8/27
b)(9/25)2x=3/5
c)5x=√5
d)2x=4=16

Answer 1

$a) \\ \frac{2}{3}x=\frac{8}{27}\\ \\ x=\frac{8}{27} \div \frac{2}{3}=\frac{8}{27}*\frac{3}{2}=\frac{4}{9}$

$b)\\ \frac{9}{25}*2x=\frac{3}{5}\\ \\ \frac{18}{25}x=\frac{3}{5}\\ \\ x=\frac{3}{5} \div \frac{18}{25}=\frac{3}{5}*\frac{25}{18}=\frac{5}{6}$

$c) \\ 5x=\sqrt5\\ \\ x=\frac{\sqrt5}{5}$

$d)\\ 2x+4=16\\ \\ 2x=16-4\\ \\ 2x=12\\ \\ x=6$