Jennifer is planning a holiday. the hotel costs $60 per night and her flight costs $150. she can spend no more than $
500 for hotels and flights. up to how many nights can she afford in hotel?

150 + 60·x ≤ 500 --> x ≤ (500 - 150)/60 = 5.833

She can spend 5 nights in the hotel.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)