Question

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

Answer 1

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