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.