ln x = 1/3 (ln6 + 2ln2)

Question

anonymous · Answer

You might notice that: 
$\ln x + \ln y = \ln xy$ and $\ln x^a = a \ln x$
Do you need further help?

anonymous · Answer

so ln x = 1/3 ln (6*2^2)??

anonymous · Answer

Yup!  :)

anonymous · Answer

i'm a bit stuck after that. how do i proceed to solve for x?...thank you for responding btw it's very appreciated

anonymous · Answer

After getting $ln x = \frac{1}{3} \ln 24$, notice that $\frac{1}{3} \ln 24=\ln 24^{\frac{1}{3} }$. So, $x=24^{\frac{1}{3}} $

anonymous · Answer

$$\ln x= 1/ \ln 24^3 then solve x$$

anonymous · Answer

You're welcome :) btw

anonymous · Answer

I got that at first and I apparently was going about it the right way, my book just gives me a different answer than what i have. I get 2 (sqrt 2) but my book has 4 as the answer. am I doing anything wrong maybe?

anonymous · Answer

Well, this should shed some light. http://www.wolframalpha.com/input/?i=ln%20x%20%3D%201%2F3%20(ln6%20%2B%202ln2)&t=crmtb01

anonymous · Answer

that's what I meant I had as my answer, and thanks that did help out :)

anonymous · Answer

At least you know the book's wrong ;) lol

anonymous · Answer

yes book ans wrong

anonymous · Answer

yup lol. thank you guys. good night

anonymous · Answer

same to u sister.