👉 Log math, or logarithmic mathematics, is a branch of mathematics that deals with the logarithm functions, which measure how much one quantity increases when another is multiplied by a base number. It provides a way to solve exponential equations and perform calculations involving powers and roots in a more manageable form. For instance, logarithms convert multiplication and division problems into addition and subtraction operations, making them particularly useful in fields like science, engineering, and finance. The key idea is that logarithms "undo" exponentials: if \( b^y = x \), then \( \log_b(x) = y \). Common logarithms use base 10, while natural logarithms use the base \( e \), where \( e \) is approximately 2.71828. Logarithmic scales are also used to represent data that spans several orders of magnitude, such as earthquake magnitudes or sound intensity levels.
