求 log5(35)+ 2log0.5(根号2)-log3(1/27)-log3(1/15)-log5(21)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/07 18:41:21

求 log5(35)+ 2log0.5(根号2)-log3(1/27)-log3(1/15)-log5(21)
求 log5(35)+ 2log0.5(根号2)-log3(1/27)-log3(1/15)-log5(21)

求 log5(35)+ 2log0.5(根号2)-log3(1/27)-log3(1/15)-log5(21)
log5(35)+log0.5(2)-(-log3(27))-(-log3(15))-log5(21)
=log5(35/21)-log2(2)+log3(15*27)
=log5(5/3)-1+log3(3^4*5)
=log5(5)-log5(3)-1+4+log3(5)
=log3(5)-log5(3)
=ln5/ln3-ln3/ln5+4
我不记得让被那些自然对数值了,不完整自己加一下吧