Study Online and Download Notes of Mathematics 9th Unit 3: Logarithms. The difficult and complicated calculations become easier by using logarithms. Abu Muhammad Musa Al Khwarizmi first gave the idea of logarithms.

Study Online and Download Notes of

**Mathematics 9th Unit 3: Logarithms**. The difficult and complicated calculations become easier by using logarithms. Abu Muhammad Musa Al Khwarizmi first gave the idea of logarithms.

Later on, in the seventeenth century John Napier extended his work on logarithms and prepared tables for logarithms He used “e” as the base for the preparation of logarithm tables. Professor Henry Briggs had a special interest in the work of John Napier. He prepared logarithim tables with base 10. Antilogarithm table was prepared by Jobst Burgi in 1620 A.D.

- express a number in standard form of scientific notation and vice versa.
- define logarithm of a number y to the base a as the power to which a must be raised to give the number (i.e., ax = y ⇔ logay = x, a > 0,
- a ≠ 1 and y > 0).
- define a common logarithm, characteristic and mantissa of log of a number.
- use tables to find the log of a number.
- give concept of anti-log and use tables to find the anti-log of a number.
- differentiate between common and natural logarithm.
- prove the following laws of logarithm
- apply laws of logarithm to convert lengthy processes of multiplication, division and exponentiation into easier processes of addition and subtraction etc.

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