If quadratic, then the Cheesecake Factory experience gives you 9 "utils" and Poppy gives you 100 utils. You'd rather eat at Poppy once a month than Cheesecake Factory 11 times a month, but you'd rather eat at Cheesecake factory 12 times a month than either. (If 12 times a month is too much, swap these for per-year numbers.)
If linear, then Cheesecake Factory gives you 3 utils and Poppy gives you 10. You'd rather eat at Poppy once a month than Cheesecake Factory 3 times a month, but you'd rather eat at Cheesecake Factory 4 times a month than either.
If logarithmic, it doesn't really matter what the base of the logarithm is. Suppose it's 10. Then Cheesecake Factory gives you 0.477 utils and Poppy gives you 1 util. You'd rather eat at Poppy once a month than Cheesecake Factory twice a month, but you'd rather eat at Cheesecake Factory three times a month. I think this is roughly how my restaurant scale works.
If exponential, it does matter what the base of the exponential is. Suppose it's 10. Then Cheesecake Factory gives you 1000 utils and Poppy gives you 10 billion utils. You'd rather eat at Poppy once in your life than Cheesecake Factory an unlimited number of times (once a week for 200,000 years). But if the base of the exponential is 2, then we're talking about 8 Cheesecake Factory utils versus 1024 Poppy utils. In that case you'd rather eat at Poppy once every 4 years than at Cheesecake Factory once a week, but you'd rather eat at Cheesecake Factory (or an equivalently good restaurant) once a week than at Poppy every 5 years.
So, how does that 1-10 scale map to your preferences?