问题
填空题
若logax=logby=-
|
答案
∵logax=logby=-
logc2,1 2
∴x=a-1 2
,y=b-log 2c 1 2
,log c2
∴xy=a-1 2
b-log c2 1 2
=(ab)-log 2c 1 2
=c2-log 2c 1 2
=c-log 2c
=log 2c
,1 2
故答案为:
.1 2
若logax=logby=-
|
∵logax=logby=-
logc2,1 2
∴x=a-1 2
,y=b-log 2c 1 2
,log c2
∴xy=a-1 2
b-log c2 1 2
=(ab)-log 2c 1 2
=c2-log 2c 1 2
=c-log 2c
=log 2c
,1 2
故答案为:
.1 2