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Applied Mathematics · Ch 1 — Numbers and Quantification

Indices, Logarithm and Antilogarithm

1.6

Indices, Logarithm and Antilogarithm

Numbers grow fast when you multiply them repeatedly, and indices give us a compact language to describe that growth. Logarithms are the inverse — they answer the question: to what power must a base be raised to get a given number? Antilogarithms simply reverse that process, turning a logarithm back into the original number. Together, these three tools let you simplify enormous calculations, solve exponential equations, and handl …