log8(9)*log27(32)=?
问题描述:
log8(9)*log27(32)=?
答
log8(9)=ln9/ln8=(2ln3)/(3ln2)
log27(32)=ln32/ln27=(5ln2)/(3ln3)
所以
log8(9)*log27(32)=(2ln3)/(3ln2)*(5ln2)/(3ln3)=10/9