Did you know that logarithms have their roots in the work of John Napier, who introduced them in the early 17th century to simplify complex calculations? His invention was a game-changer for astronomers and navigators who relied on accurate calculations for their work. Logarithms turned multiplication and division into easier addition and subtraction tasks!

When working with logarithms, a common mistake is forgetting the change of base formula. If you ever need to convert to a more manageable base (like 10 or ), you can use where can be any positive number. This makes calculations much smoother and opens up new realms of understanding for logarithmic functions!