Log29

Log29 is commonly taken to mean the logarithm of 29 to a specified base. In elementary algebra the base is usually 10, giving log10(29) ≈ 1.462398. In analytic contexts the natural logarithm base e is used, ln 29 ≈ 3.367296. In computer science or algorithmic analysis the base 2 logarithm is frequently employed, log₂ 29 ≈ 4.857983. The logarithm function converts multiplication into addition, so log_b(ab) = log_b a + log_b b. It is the inverse of exponentiation: if y = log_b x, then b^y = x. The function log_b x is defined for x > 0 and base b > 0, b ≠ 1, and is monotonic – increasing when b > 1 and decreasing when 0 < b < 1. Calculating log29 for different bases can be accomplished with the change‑of‑base formula: log_b 29 = (log_k 29)/(log_k b) for any convenient k, such as 10 or e. Applications include scaling of data, algorithm complexity notation such as O(log n), and solving exponential equations. In practice, calculators and computer languages provide built‑in functions for ln, log10, and log2.