O that way around, but no there are no log file as such, you can look ( write down ) the settings the camera use now, and then reset it to default, if it have been changed to other than default settings chance are it have also been used.
Most will change the time zone at least, and maybe segment size
Maybe look at the language the camera is set to, if it is set to Spanish, then it have probably been used, i have never heard of a camera that is default Spanish, most often English of in the case of this brand Chinese.