Warmup Alg 2 22 Mar 2012

1. WarmupAlg222 Mar 2012

2. Agenda • Don't forget about resources on mrwaddell.net • Assignment from last class period • Sect 7.5: Properties of logarithms

3. Go over assignment from last class period

4. Section 7.5: Properties of Logarithms

5. Vocabulary • Exponentials • Logarithm • log x • ln x Any equationof the form x=(b)y The opposite of an exponential equation • y= logbx No base? It is automatically base 10! “ln” is a shortcut way to write loge said “log base e”

6. Property of Logs and Exponents • One-to-One Property of Exponential Functions and logs • If bx= by, thenx = y. If logbx = logby, thenx = y.

7. Exponents First – Page 330

8. Exponents First

9. Product Property logb(nm) = = logbn+ logbm

10. logb= n m Quotient Property = logbn– logbm

11. Power Property logbmp = = plogbm THIS IS EASILY THE MOST IMPORTANT ONE!

12. Inverse Properties (2 of them) logbbx = x

13. Practice Problems Write each expression as a single logarithm. Then simplify if possible. problem log25 + log27 product property log2 (5∙7) finished log2 (35)

14. Practice Problems Write each expression as a single logarithm. Then simplify if possible. problem Log536x3 product property Log536 + Log5x2 Power property Log536 + 2Log5x

15. Practice Problems Write each expression as a single logarithm. Then simplify if possible. problem quotient property product property power property

16. Practice Problems Write each expression as a single logarithm. Then simplify if possible. problem log48 + log42 product property log4(16) Hmm, what exponent for 4x =16 log4 (4∙4) 2 is the answer!

17. Practice Problems Write each expression as a single logarithm. Then simplify if possible. problem log335 - log5125 power prop & factoring 5log33 – log5(5∙5∙5) Inverse prop 5 – log5(5∙5∙5) How many 5’s are there again? 5 – 3 2 is the answer!

18. Assignment • Chapter 7.5: 15-30, • 33 – 42, • Pick 10 from each section