Algebra
posted by Jon on .
I need help finding the correct answer. I got it wrong on my homework and am studying for my test and need to know how to do it.
ln e^lnxln(x3)=ln 8
my wrong answer  no solution
correct answer  (24/7)

ln e^lnxln(x3)=ln8
First of all the "ln of e" cancels out, so it is just:
ln(x)ln(x3)=ln(8)
which is the same as:
ln(x/(x3))=ln(8)
e^ both sides...
x/(x3)=8
x=8x24
7x=24
x=24/7