{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Section 5.5 class notes_3

# Section 5.5 class notes_3 - Section 5.5 Exponential and...

This preview shows pages 1–3. Sign up to view the full content.

Section 5.5 Exponential and Logarithmic Equations Definition of the Logarithmic Function For 0, 0and 1 x b b , if log b y x = , then y x b = , and if y x b = , then log b y x = . The Logarithm Property of Equality For 0, 1, b b 0 u , and 0 v , if log log b b u v = , then u v = , and if u v = , then log log b b u v = . Properties of Logarithms For 0, 1, b b 0 u , and 0 v , log log log b b b uv u v = + Product Rule for Logarithms log log log b b b u u v v = - Quotient Rule for Logarithms log log b b r u r u = Power Rule for Logarithms Change of Base Formula For any positive base 1 b and for any positive real number u , then log log log a b a u u b = where a is any positive number such that 1 a . Note that the preferred choices for a are 10 and e.

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

View Full Document
Objective 1: Solving Exponential Equations Solving Exponential Equations If the equation can be written in the form u v b b = (relating the bases), then solve the equation = u v . If the equation can be written in the form
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

Section 5.5 class notes_3 - Section 5.5 Exponential and...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online