来自田一鸣的问题
log(8)(3)×log²(3)(4)=
log(8)(3)×log²(3)(4)=
1回答
2020-01-26 19:17
log(8)(3)×log²(3)(4)=
log(8)(3)×log²(3)(4)=
根据对数的运算法则:
log(8)(3)×log²(3)(4)=(㏑3/㏑8)*(㏑4/㏑3)²=(㏑3*㏑4*㏑4)/(㏑8*㏑3*㏑3)=(㏑4*㏑4)/(㏑8*㏑3)
继续化简得:
(㏑4*㏑4)/(㏑8*㏑3)=(4*㏑2*㏑2)/(3*㏑2*㏑3)=(4/3)log(3)(2)≈0.84123967