>>14013717If you want to get better at logarithms, get better at exponents.
If you know the powers of 2 by heart, finding log_2(1024) is easy.
But keep in mind that most of the time, the answer won't be a whole number and the best you can do approximate logarithms. For example, I have no idea how to do log_2(1000) in my head, but I know it's "very close" to 10. If you want to have a better approximation than just "very close", then you also have to get familiar with the fractional powers of 2...
But I also don't see what's wrong with using a calculator...
I've never encountered a situation where I wanted to know the value of a logarithm and didn't have access to a computer/calculator.