6.3 Logarithmic Functions

# 6.3 Logarithmic Functions - Logarithmic Function...

This preview shows pages 1–14. Sign up to view the full content.

Logarithmic Functions Section 6.3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Natural Logarithms

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Defn. of the Natural Logarithmic Function From the defn., you can see that ln x Is positive for x>1 and negative for 0 , 1 1 x dt t x
Definition of e The letter e denotes the positvie real number such that ln e = = 1 dt t e 1 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
e 2.71828182846 Area = =1 1 2 3 e is the base for the natural logarithm Because ln e = 1. dt t e 1 1 t y 1 =
1 2 3 1 y = ln x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Properties of the Natural

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Logarithmic Function Logarithmic Properties 1. ln (1) = 0 2. ln (ab) = ln a + ln b 3. ln (an) = n ln a 4. ln = ln a ln b b a Change of Base Formula Joke Time What do you call a deer with no eyes? I-have-no-eye-deer (I have no idea!) What did the teddy bear say after eating a whole bag of cookies? Im stuffed!...
View Full Document

## This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

### Page1 / 14

6.3 Logarithmic Functions - Logarithmic Function...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online