Apt Logarithms — Free Aptitude Tutorial
Learn Apt Logarithms in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
TL;DR: Learn Apt Logarithms in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Apt Logarithms in Aptitude
Logarithm: If aˣ = N, then logₐN = x. Read as "log base a of N equals x". log₁₀ is common log; logₑ is natural log.
Key laws: log(MN) = logM + logN. log(M/N) = logM − logN. log(Mⁿ) = n·logM.
Special values: log 1 = 0 (any base). log a (base a) = 1. log 0 is undefined.
Change of base: logₐb = log b / log a (convert to any convenient base).
Anti-log: If log x = n, then x = 10ⁿ. log 2 ≈ 0.3010, log 3 ≈ 0.4771 are commonly tested values.
Apt Logarithms — Syntax
logₐN = x ↔ aˣ = N log(MN) = logM + logN log(M/N) = logM - logN log(Mⁿ) = n·logM logₐb = log(b)/log(a)
Learn Apt Logarithms step by step with Syllab's free interactive Aptitude tutorial — runnable code examples, practice exercises and instant AI feedback, all free with no signup. Explore the full Aptitude course →