log(2)25*log(3)2√2*log(5)9=?log(2)25是log以2为底25的对数的意思._数学解答

log(2)25*log(3)2√2*log(5)9=?log(2)25是log以2为底25的对数的意思.

人气：196 ℃　时间：2020-04-10 22:45:54

解答

log(2)25*log(3)2√2*log(5)9
= lg25/lg2 * lg(2√2)/lg3 * lg9/lg5
= 2lg5/lg2 * (3/2) lg2/lg3 * 2lg3/lg5
= 2 * (3/2) * 2
= 6