[log(4)3+log(8)3][log(3)2+log(9)2]-log(1/2)32∧1/4过程详细点,
问题描述：
[log(4)3+log(8)3][log(3)2+log(9)2]-log(1/2)32∧1/4过程详细点,
log(4)3是log以4为底3的对数，
答
log(4)3+log(8)3用换底公式,再加loga (x^n)=nlog a x=ln3/ln4+ln3/ln8=ln3/ln(2^2)+ln3/ln(2^3)=ln3/(2ln2)+ln3/(3ln2)=(ln3/ln2)(1/2+1/3)=(5/6)(ln3/ln2)同理log(3)2+log(9)2=ln2/ln3+ln2/ln9=ln2/ln3+ln2/(ln3^2)...