计算log9(根号2)*[log4(3)+log8(3)]

问题描述:

计算log9(根号2)*[log4(3)+log8(3)]

=lg√2/lg9(lg3/lg4+lg3/lg8)
=lg2/4lg3/(lg3/2lg2+lg3/3lg2)
=1/4(1/2+1/3)
=5/24