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

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

Rewrite as the sum of two logs

log22x =

log612 =

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?

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

=     1

3 Answer?

logbx2 ­ logby

4 Answer?

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

5 Answer?

= logb43 = logb64

= logb23 = logb8

6 Answer?

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

@ The MoviesPH Videos:• Simplifying logarithms

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

Write each logarithmic expression as a single logarithm.

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

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

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

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