log(3)15xlog(5)15-(log(3)15+log(5)3)

来源：百度知道 编辑：UC知道 时间：2024/05/16 07:07:47
写的详细点！谢谢！
每一步注明！谢谢

如下

=log(3)15xlog(5)15-log(3)15-log(5)3
=log(3)15[log(5)15-1]-log(5)3
=log(3)15[log(5)15-log(5)5]-log(5)3
=log(3)15[log(5)(15÷5)]-log(5)3
=log(3)15xlog(5)3-log(5)3
=log(5)3[log(3)15-1]
=log(5)3[log(3)15-log(3)3]
=log(5)3xlog(3)(15÷3)
=log(5)3xlog(3)5
用换底公式
=(lg3/lg5)x(lg5/lg3)
=1

原题
=(lg5/lg3)*(lg15/lg5)-log(3)15-log(5)3
=lg15/lg3-log(3)15-log(5)3
=log(3)15-log(3)15-log(