It's a failure of certain maths teachers, then, if they haven't made the point about the applications and relevance. It's true that, almost by definition, the more technical Maths gets the less instantly applicable it is, but that is true of every subject. Mathematics underpins engineering, computing, all the sciences, economics, data analysis, etc etc.
In regards to logarithms, at least a passing understanding of them might be helpful in interpreting the stats behind a certain topical disease.