How to solve 3sqrt(lnx)+lnx=4?

1 Answer
May 30, 2018

x=e

Explanation:

Substituting

sqrt(ln(x))=t
so we get
t^2+3t-4=0

With the Solutions

t_1=1

t_2=-4<0 (which isn't a solution)

so we have
sqrt(ln(x))=1
ln(x)=1

so x=e