🚀 Crash Course on Logarithms Logarithms are one of the most useful mathematical tools — from calculating algorithmic complexity to dealing with exponential growth in real life. In this quick crash course, you’ll understand what logarithms are, how they work, and how to apply them. 🧩 What is a Logarithm? A logarithm answers the question: “To what power must I raise this base to get that number?” Formally: \[ \log_b(a) = c \iff b^c = a \] Example \[ \log_2(8) = 3 \text{ because } 2^3 = 8 \] 🔢 Common Logarithm Bases Base Name Example 10 Common Logarithm log₁₀(1000) = 3 2 Binary Logarithm log₂(32) = 5 e (≈2.