M3U02L05 Logarithmic and Exponential Equations

11
M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebook September 27, 2016 M3U02L05 Logarithmic and Exponential Equations Able to: Solve logarithmic and exponential equations algebraically using the properties of e, log, ln and also graphically Condense and expand expressions with logarithms and exponents. Will know: Properties of logarithms Learning Resources RegentsPrep.org: Logarithmic Expressions Khan Academy: Exponential and logarithmic functions. Intro to Logarithms Properties of logarithms The change of base formula for logarithms Solving exponential equations with logarithms

Transcript of M3U02L05 Logarithmic and Exponential Equations

Page 1: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

M3U02L05 Logarithmic and Exponential Equations

Able to:

Solve logarithmic and exponential equations algebraically using the properties of e, log, ln and also graphically

Condense and expand expressions with logarithms and exponents.

Will know:

Properties of logarithms

Learning Resources

RegentsPrep.org: Logarithmic Expressions

Khan Academy: Exponential and logarithmic functions. • Intro to Logarithms• Properties of logarithms• The change of base formula 

for logarithms• Solving exponential equations 

with logarithms

Page 2: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Rewrite as the sum of two logs

log22x =

log612 =

Page 3: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Evaluate and find x using the product property

log22x = 3 x=4

log1012x = 2 x = 25/3= 81/3

do not confuse: log(M+N) ≠ log(M) + log(N)

1 Answer?

2 Answer?

Page 4: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

=     1

3 Answer?

logbx2 ­ logby

4 Answer?

Page 5: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

5 Answer?

= logb43 = logb64

= logb23 = logb8

6 Answer?

Page 6: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

@ The MoviesPH Videos:• Simplifying logarithms

Page 7: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Write each logarithmic expression as a single logarithm.

Page 8: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Homeworkp450, #58-69, #73-87HW Quiz will be non-

calculator. Check your HW with a calculator, but learn to

do it by hand.

Prentice Hall Algebra On Line ResourcesGo to "http://www.phschool.com/" then enter Web Code agk­0099

Page 9: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Page 10: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016

Page 11: M3U02L05 Logarithmic and Exponential Equations

M3U2L05 Logarithmic and Exponential Equations 3p Class Notes .notebookSeptember 27, 2016