MathematicsChapter 2: Logarithms
Antilog
Antilog undoes log. From log_10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200.
Learning objectives
- Define and explain antilog.
- Apply antilog to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Antilog undoes log. From log10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200. Characteristic 2 says the scientific-notation exponent is 2, so x is of the form d x 10^2. On a table, you look up the mantissa to find d, then place the point using the characteristic.
Formula
x = 2.3010 you get x
Where / symbols
- Antilog
- Antilog undoes log. From log_10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200. Characteristic 2 says the scientific-notation exponent is 2, so x is of the form d x 10^2. On a table, you look up the mantissa to find d, then place the point using the characteristic.
Overview
Learn the idea, then use it:
Core Understanding
Antilog undoes log. From log10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200. Characteristic 2 says the scientific-notation exponent is 2, so x is of the form d x 10^2. On a table, you look up the mantissa to find d, then place the point using the characteristic.
Examples Antilog · undoes · Antilog · ANTILOG: Antilog undoes log. From log_10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200. Characteristic 2
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 — ANTILOG
Antilog undoes log. From log10 x = 2.3010 you get x = antilog 2.3010 = 10^2.3010, which is about 200. Characteristic 2 says the scientific-notation exponent is 2, so x is of the form d x 10^2. On a table, you look up the mantissa to find d, then place the point using the characteristic.
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 antilog with a neighbouring idea that uses a different definition, rule, or method.
Key points
- Antilog
- undoes
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Antilog
Sticky Notes · Quick Revision
Core Idea
- Antilog undoes log.
Key Points
- Antilog
- undoes
- Antilog
Simple Check
- Explain antilog 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 antilog 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
- Antilog undoes log.
- Antilog
- undoes
- Antilog
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