Question 914472
I finally tried this ON PAPER, and it was a difficult task with many opportunities for errors to lead to both or either confusion and wrong answers.  I will NOT try to show all the steps by typing text.  


Try working from the inside and go outward; and then to continue, you have some split exponents to deal with from level to level; so again start from inside and go outward again.


So far, not yet finished, I have this:

log((x^(5/2)y^(3/4)z^(3/8)))


Which becomes rendered as:{{{log((x^(5/2)y^(3/4)z^(3/8)))}}}


Hopefully that appears correctly; at least you can refer to the pure text form.  You should have no further trouble continuing the necessary steps to finish.