=log4^[两个括号相乘]
真数=[(1+√2)+√3][(1+√2)-√3]
=(1+√2)^2-3
=2√2
所以原式=log4^(2√2)
=lg(2√2)/lg4
=lg2^(3/2)/lg2^2
=(3/2)lg2/2lg2
=3/4