hey...log help! :-\

[kylekylekyle]

hey ladies and gents.
I am in 11th grade and i have a practice regents (new york state exam) to do for homework. all the tests and answers are online, so i know the answer to this question ( it is 96) but in order to get credit i need to show all the work. i can't figure it out so if someone could help me out that would be aweome.
thanks!


heres the problem(it comes with an unmarked graph grid)
(also the squared didnt come out so i bolded it)


"A hotel finds that its total annual revenue and the number of rooms
occupied daily by guests can best be modeled by the function
R = 3 log (nsquared+ 10n), n > 0, where R is the total annual revenue, in
millions of dollars, and n is the number of rooms occupied daily by
guests. The hotel needs an annual revenue of $12 million to be
profitable. Graph the function on the accompanying grid over the
interval 0 < n ≤ 100.
Calculate the minimum number of rooms that must be occupied daily
for the hotel to be profitable. [Additional space is provided on the next
page for your calculations.]"

 

[galactus]

Solve \(\displaystyle \L\\3log(n^{2}+10n)=12\) for n to find the minimum number of

rooms the hotel must occupy in order to be equal to or above 12,000,000

dollars. Remember to round your answer up. You can not rent a fraction of a hotel room.