Loudness versus Intensity

I'm teaching logarithms right now and typically discuss some applications including sound. Some of the nuanced language I am trying to get comfortable with and what is throwing me off is how intensity is explained compared to perceived loudness. I understand that an increase of 10dB results in a sound intensity that increases by a factor of 10. However, I have some things I'm reading saying that equates to a sound being 10 times as loud. I've read other sources saying an increase of 10dB equates to a loudness increase by a factor of 2 and not 10. Would it be more appropriate to say a sound that is measured at 50db compared to 40 db is 10 times as intense rather than 10 times as loud?