Paper I · 16 Logical Reasoning, Analytical Ability & Data Interpretation · 16.2 Algebra: equations, identities and progressions

16.2.4 Logarithms: laws, change of base and simplification

A logarithm is just an exponent: log_a N = x means aˣ = N, so the laws of logs are the laws of indices written the other way round.

  • TGPSC MPSO / ASO · Paper I
  • Standard level
  • 5 min read
  • Full course

Key terms

  • logarithm
  • common logarithm
  • laws of logarithms
  • change of base
  • characteristic
  • number of digits
  • log 2
  • log 3
  • log equations

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

Read the full note in the app. It is part of the TGPSC MPSO / ASO full course in Medha AI. Free in the app: the first chapter of each topic.

Medha AI writes its own notes and checks them against the sources listed. Medha AI is an independent preparation service. It is not affiliated with, endorsed by or connected to APPSC, TGPSC (formerly TSPSC), MPSC, UPSC or any other commission or government body.