3 1 Prepares Lines for FLE A 4

3 -1 Prepares. Lines for F-LE. A. 4 and Ø For exponential Angles Change of base formula Holt Geometry models, express as a logarithm the solution to abct = d where a, c, and d are number and the base b is 2, 10, or e; evaluate the logarithm using technology.

3 -1 Lines and Angles {Paper for notes {Pearson 7. 4 {Graphing Calc. Holt Geometry

Name: Daisy Basset 3 -1 Lines and Angles TOPIC: 7. 4 Properties of Logarithms Holt Geometry Date : Subject: Period: Objective: Notes Evaluate the logarithm using technology.

Key Concepts 3 -1 Lines and Angles Ø 3 Properties of Logarithms Holt Geometry

3 -1 Lines and Angles More Log Properties Holt Geometry

1. What is the expression written as a single logarithm? 3 -1 Lines and Angles Holt Geometry

A. log 432 – log 42 3 -1 Lines and Angles Use the Quotient Prop. Of Logs Same base log 432 – log 42 = log 4 Holt Geometry

3 -1 Lines and Angles log 432 – log 42 = log 416 Write 16 as a power of 4 (same as base). Holt Geometry

3 -1 Lines and Angles log 416 = log 4 2 4 log 432 – log 42 = 2 Holt Geometry

B. 6 log 2 x + 5 log 2 y 3 -1 Lines and Angles Use the Power Prop. Of Logs 6 6 log 2 x + 5 log 2 y = log 2 x + log 2 y Use the Product Prop. Of Logs Holt Geometry 5

3 -1 Lines and Angles 6 5 log 2 x + log 2 y = 6 5 log 2(x )(y ) Different, so can’t be simplified more 6 log 2 x + 5 log 2 y = Holt Geometry 6 5 log 2 x y

C. log 45 x + log 43 x 3 -1 Lines and Angles Use the Product Prop. Of Logs log 45 x + log 43 x = log Holt Geometry (5 x)(3 x) 4 = log 415 x 2

2. What is the logarithm expanded? 3 -1 Lines and Angles Holt Geometry

3 -1 Lines and Angles A. Holt Geometry Use the Quotient Prop. Of Logs

and. Product Angles Prop. Of Logs 3 -1 Lines Use the Holt Geometry

3 -1 Lines and Angles B. Holt Geometry Use the Quotient Prop. Of Logs

and Angles 3 -1 Lines Use the Power Prop. Of Logs Write 729 as a power of 9. Holt Geometry

3 -1 Lines and Angles {Notes 7. 4 {Pearson 7. 4 {Calculator Holt Geometry

3 -1 Lines and Angles C. Holt Geometry Use the Quotient Prop. Of Logs

3 -1 Lines and Angles to c a F 0 5 r 2 Use the Product Prop. Of Logs Write 125 as a power Holt Geometry

3 -1 Lines and Angles Use the Power Prop. Of Logs Holt Geometry

Vocabulary 3 -1 Lines and Angles Ø Change of Base Formula Holt Geometry

3. What is the value of the expression? 3 -1 Lines and Angles Holt Geometry

A. log 8127 3 -1 Lines and Angles Use a calculator & base 10 Use the Change of Base Formula Holt Geometry

3 -1 Lines and Angles Base 10 is the only base you don’t have to write. Holt Geometry

and your Anglescalculator. 3 -1 Lines Use Holt Geometry

B. log 536 3 -1 Lines and Angles Holt Geometry Use the Change of Base Formula & base 10.

C. log 832 3 -1 Lines and Angles Holt Geometry Use the Change of Base Formula & base 10.

3 -1 Lines and Angles Summary D L I Q Holt Geometry Summarize/reflect What did I do? What did I learn? What did I find most interesting? What questions do I still have? What do I need clarified?