Скачать или смотреть Exercise 2.3 Solved | 9th Math 2025 | Log/Antilog Tables & Scientific Notation | PCTB | Qais Ali

📚 *Exercise 2.3 Solved | Chapter 2 (Logarithms) | 9th Class Math New Book 2025 (Punjab Board)!*
*Qais Ali Khan* simplifies *logarithmic calculations* using *log/antilog tables* and explains the difference between **natural (ln) and common (log) logarithms**.

🔍 **Key Concepts Covered**:
**Natural vs. Common Logarithms**: Definitions, bases (e vs. 10), and applications.
**Scientific Notation**: Finding characteristic and mantissa.
**Logarithm Tables**: Step-by-step usage to find log values.
**Antilog Tables**: Calculating antilog to solve for \( x \).
**Table Drawing**: Visual demonstration of log/antilog tables on a whiteboard.

📝 **Exercise 2.3 Solutions**:
1. **Logarithm of Numbers**: Use log tables to find values (e.g., log(0.025)).
2. **Matching Mantissas**: Solve using numbers with identical mantissas.
3. **Antilog Applications**: Find \( x \) in equations like \( \log x = 2.8573 \).

📌 **Perfect for Punjab Board Students**:
Aligned with the **PCTB 2025 syllabus**, this tutorial demystifies log/antilog tables with practical examples.
Master manual calculations for exams with Qais Ali Khan’s expert guidance!

0:00 intro
0:45 Common Log vs. Natural Log
7:48 Exercise - Question No. 01
17:04 Question No. 02
38:17 Question No. 03
45:32 Question No. 04