In^2[x]-5Inx^2+16=0
In^2[x]-10Inx+16=0
(lnx-2)(lnx-8)=0
解lnx=2 或 lnx=8
a,b为 e^2 ,e^8
log(a^n)M^m=(m/n)log(a)M
loga^b+logb^a=log[e^2](e^8)+log[e^8](e^2)=8/2loge(e)+2/8loge(e)=4+1/4=17/4
In^2[x]-5Inx^2+16=0
In^2[x]-10Inx+16=0
(lnx-2)(lnx-8)=0
解lnx=2 或 lnx=8
a,b为 e^2 ,e^8
log(a^n)M^m=(m/n)log(a)M
loga^b+logb^a=log[e^2](e^8)+log[e^8](e^2)=8/2loge(e)+2/8loge(e)=4+1/4=17/4