LOGARITHMIC FUNCTIONS Mr. Velazquez

Honors Precalculus

DEFINITION OF LOGARITHMIC FUNCTIONS

LOGARITHMIC AND EXPONENTIAL FORMS

To change from logarithmic to the more familiar exponential

form, use the following pattern:

(start here)

BASIC LOGARITHMIC PROPERTIES

Examples: log8 8 = 1 log6 1 = 0

Examples: log7 72 = 2 5log58 = 8

GRAPHS OF LOGARITHMS

GRAPHS OF LOGARITHMS

GRAPHS OF LOGARITHMS

EXAMPLE:

EXAMPLE:

EXAMPLE:

DOMAIN AND RANGE

EXAMPLE: Find the domain and range of 𝑓 𝑥 = log4 𝑥 − 5

THE COMMON LOGARITHM

THE COMMON LOGARITHM

THE NATURAL LOGARITHM

CLASSWORK & HOMEWORK

Homework:

Pg. 410, #1-45

(odds)