Question 1:

Medium

You are assisting a friend in organizing his book collection and he wants to categorize them in a way that he can easily find any book on a shelf with 1000 shelves. He decides to use a base 10 logarithm system to label the shelves, where each number from 1 to 1000 will be transformed into its corresponding logarithm. What would be the label of the shelf corresponding to book number 500, applying the properties of logarithms to simplify the expression?

Teachy originals