Question

求下列各式的值1.[(1-log下6 3）^2+log下6 2 乘log下6 18]/log下6 4

Answer 1

.[(1-log下6 3）^2+log下6 2 乘log下6 18]/log下6 4

(1-log6(3))^2+log6(2)*log6(18)]*log4(6)

=log6(2)^2+log6(2)*log6(2)+log6(9)]*log4(6)

=2log6(2)^2+2log6(2)log6(3)]*1/2log2(6)

=log6(2)+log6(3)

=log6(2*3)

=1