若以15為底5的對數=m,則以15為底3的對數= A m/3 B 1+m C 1-m D m-1

若以15為底5的對數=m,則以15為底3的對數= A m/3 B 1+m C 1-m D m-1


15為底5的對數+以15為底3的對數
=15為底15的對數
=1
又以15為底5的對數=m,則以15為底3的對數=1-m



以3為底4的對數*以4為底8的對數*以8為底7的對數*以7為底m的對數=以3為底9的對數,那麼m=
A 27
B18
C 9
D 9/2


答案c
log(3)4*log(4)8*log(8)7*log(7)m=log(3)m=log(3)9
m=9
log(3)4*log(4)8=log(3)8 log(3)8*log(8)7=log(3)7 log(3)7*log(7)m=log(3)m



loga1=loga2/2+……logan/n=n求an的通向公式


loga1 = log(a2*a3*.*an/n!)
a1 = a2*a3*.*an/n!
a1 = a2*a3*.*a(n-1)/(n-1)!
==> 1 =(an/n!)/(a(n-1)/(n-1)!)
==> an = na(n-1)
==> an = a1*n!