1/5(lg32-lg1/2(16)+6lg1/2)-1/5lg5
=1/5(5lg2-(-4)-6lg2)-1/5lg5
=lg2+4/5-(6/5)lg2-1/5lg5
=4/5-1/5lg2-1/5lg5
=4/5-1/5(lg2+lg5)
=4/5-1/5(lg(2*5))
=4/5-1/5
=3/5
1/5(lg32-lg1/2(16)+6lg1/2)-1/5lg5
=1/5(5lg2-(-4)-6lg2)-1/5lg5
=lg2+4/5-(6/5)lg2-1/5lg5
=4/5-1/5lg2-1/5lg5
=4/5-1/5(lg2+lg5)
=4/5-1/5(lg(2*5))
=4/5-1/5
=3/5