Exponential
Exponential Function
A function where the variable appears as an exponent (e.g. e^x), modeling rapid growth or decay processes.
Détail technique
Exponential is applied in computing through numerical algorithms that balance precision, performance, and memory. JavaScript uses 64-bit IEEE 754 floating-point for all numbers, providing ~15-17 significant decimal digits. For exact arithmetic (financial, cryptographic), BigInt or fixed-point libraries are required. Browser-based calculators implement exponential using the same floating-point engine, making awareness of precision limitations important for correct results.
Exemple
``` Logarithm identities: log_b(x) = y means b^y = x log₁₀(1000) = 3 (10³ = 1000) log₂(256) = 8 (2⁸ = 256) ln(e) = 1 (e¹ = e ≈ 2.718) log(a × b) = log(a) + log(b) log(a / b) = log(a) - log(b) log(a^n) = n × log(a) ```