Ma’am Anna Carmela Lavin

Logarithm

JOHN NAPIER

He coined the word LOGARITHM

Logos- Greek word which means “Ratio”

Arithmos- Greek word which means “Number”

Invented during the advent of Industrial Revolution

Definition of Logarithm A quantity representing the power to

which a fixed number (the base) must be raised to produce a given number

Read:

Definition of Logarithm

• In general: is equivalent to

• It is the inverse of exponential function

Example

Transformation from Exponential form to Logarithmic Form

Example

Transformation from Logarithmic form to Exponential Form

Example

Finding the value of “x” using Logarithm

Example1. x = 2. x = 3. x =

Finding the value of “x” using Logarithm

Example1. 8 = x2. = x3. 125 = x

Finding the value of “x” using Logarithm

Example1. 4 = 2. = 3. 1000 = 3

SEATWORK #1I. Transform the following into

Logarithmic Form (Rx2)  1.

3. II. Transform the following into Exponential Form (Rx2)

  1. 2. 3.