1)log9 X = -3/2,求X的值.
问题描述:
1)log9 X = -3/2,求X的值.
(2)1/2 lg3 + 3 lg根号2 - lg (根号6)/5
(2) log5 10 - log5 2/(根号5)
答
1)log9 X=1/2 log3 X=-3/2
log3 X=-3
X=3^(-3)=-1/27 3^(-3)表示3的-3次方
2)1/2 lg3 + 3 lg根号2 - lg (根号6)/5
=lg根号3 + lg根号8 -lg根号6/5
=lg根号3*根号8*5/根号6
=lg10=1
3)log5 10 - log5 2/(根号5)
=log5 10*(根号5)/2
=log5 5*(根号5)
=3/2