log(2)5×log(5)81×log(3)4＋In√e.

题目

log(2)5×log(5)81×log(3)4＋In√e.
还有(log(2)3＋log(4)9)(log(3)4＋1／2log(3)2)

答案

log(2)5×log(5)81×log(3)4＋In√e
=log(2)81×log(3)4＋1/2
=4log(2)3×2log(3)2＋1/2
=8+1/2=8.5
(log(2)3＋log(4)9)(log(3)4＋1／2log(3)2)
=(log(2)3＋log(2)3)(2log(3)2＋1／2log(3)2)
=2log(2)3*3/2log(3)2)
=3
换底公式的应用.