Topic explanation

Standard explanation

A logarithm in one base can be calculated through another base using logb(x) = loga(x) / log_a(b).

Key points

• changing the base of a logarithm
• understand the idea
• apply it carefully
• keep the ideas separate
• Changing The Base Of A Logarithm: A logarithm in one base can be calculated through another base using logb(x) = loga(x) / log_a(b).
• WHAT — CHANGING THE BASE OF A LOGARITHM: A logarithm in one base can be calculated through another base using logb(x) = loga(x) / log_a(b).
• HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
• CORE UNDERSTANDING: A logarithm in one base can be calculated through another base using logb(x) = loga(x) / log_a(b).

Labelled diagram