MathematicsChapter 2: Logarithms
Common Logs (briggs)
A common log is log_10 x.
Learning objectives
- Define and explain common logs (briggs).
- Apply common logs (briggs) to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
A common log is log_10 x. Tables and older calculators often just print log for this. Because our place value is base 10, the integer part of log_10 of a number in scientific notation is exactly the exponent n. Briggs promoted base 10 so that scientists could share one set of tables.
Where / symbols
- Common Logs (Briggs)
- A common log is log_10 x. Tables and older calculators often just print log for this. Because our place value is base 10, the integer part of log_10 of a number in scientific notation is exactly the exponent n. Briggs promoted base 10 so that scientists could share one set of tables.
Overview
Learn the idea, then use it:
Core Understanding
A common log is log_10 x. Tables and older calculators often just print log for this. Because our place value is base 10, the integer part of log_10 of a number in scientific notation is exactly the exponent n. Briggs promoted base 10 so that scientists could share one set of tables.
Examples common · log_10 · Briggs · COMMON LOGS (BRIGGS): A common log is log_10 x. Tables and older calculators often just print log for this. Because our place value is base 10
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — COMMON LOGS (BRIGGS)
A common log is log_10 x. Tables and older calculators often just print log for this. Because our place value is base 10, the integer part of log_10 of a number in scientific notation is exactly the exponent n. Briggs promoted base 10 so that scientists could share one set of tables.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge common logs (briggs) with a neighbouring idea that uses a different definition, rule, or method.
Key points
- common
- log_10
- Briggs
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Common Logs (briggs)
Sticky Notes · Quick Revision
Core Idea
- A common log is log_10 x.
Key Points
- common
- log_10
- Briggs
Simple Check
- Explain common logs (briggs) in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge common logs (briggs) with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- A common log is log_10 x.
- common
- log_10
- Briggs
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