Absolutely but I think when people are first learning math especially they ask this question, why are we learning things like trig and or logarithms? The answer we give is usually they are important for the future math people learn. That is very uninspiring to students in my opinion (ages 12-18). While its true they will use them in the future those two things were invented to reason about the distance between the sun and the moon, the size of the earth, and other hard questions. Even doing machine tool work you'll quickly develop an appreciation for trig if you are doing any time of manual machining.
Logarithms were used percisely because they made long tedious multplication and division into simple additiona and subtraction. That's really valuable if you don't have calculators but when we don't talk about this it makes things feel arbitray. There properties don't stop being useful after we have calculators either but the motivation in my academic career was basically ignored until college (sample size of 1 :( ) but I think its something that I hear from many many people.
Logarithms were used percisely because they made long tedious multplication and division into simple additiona and subtraction. That's really valuable if you don't have calculators but when we don't talk about this it makes things feel arbitray. There properties don't stop being useful after we have calculators either but the motivation in my academic career was basically ignored until college (sample size of 1 :( ) but I think its something that I hear from many many people.