Question 236522
1/2ln(x+3)-lnx=0


ln((x+3)^(1/2))-ln(x)=0


ln(sqrt(x+3))-ln(x)=0


ln(sqrt(x+3)/x)=0


sqrt(x+3)/x=1


sqrt(x+3)=x


x+3=x^2


x^2-x-3=0


x=1/2+(1/2)*sqrt(13) or x=1/2-(1/2)*sqrt(13)



Answer: Only solution is x = 1/2+(1/2)*sqrt(13) (other is extraneous)