log以2为底25的对数*log以3为底(2*根下2)的对数*log以3为底9的对数=
问题描述:
log以2为底25的对数*log以3为底(2*根下2)的对数*log以3为底9的对数=
答
原式=lg25/lg2*lg2√2/lg3*2
=2lg5/lg2*3/2*lg2/lg3*2
=6lg5/lg3
=6log3 5