Question

$x = \frac{1 }{2} lg9 - \frac{2}{3}lg8$

Answer 1

$x=\frac{1}{2}lg9-\frac{2}{3}lg8=lg9^{\frac{1}{2} }-lg8^{\frac{2}{3} }=lg\sqrt{9} -lg\sqrt[3]{8^{2} }=lg3-lg\sqrt[3]{4^{3} }=lg3-lg4=lg\frac{3}{4}=lg0,75$