c)

To simplify , we can first convert the expression into a fraction: is the same as . Thus, we rewrite the logarithm as:

This means you can break down more complex logarithmic expressions into simpler parts, making calculations easier!

The logarithm has been a crucial tool in mathematics since its invention by John Napier in the early 17th century. Initially used for simplifying multiplication and division into addition and subtraction, logs have evolved into a fundamental concept across various fields, like engineering, computer science, and finance, showcasing their timeless utility!