Logarithms

Logarithms are the inverse of exponentiation — just as subtraction undoes addition, a logarithm undoes raising a number to a power. If $a^x = y$, then $\log_a y = x$: the logarithm tells you the exponent $x$ needed on the base $a$ to produce $y$. This simple shift in perspective lets us turn multiplication into addition and powers into products, making it far easier to handle very large or very small numbers. Mastering logarithms is essential for growth models, com …