BELL RINGER  1. How do you convert from a logarithm to an exponential?  2. What are the properties of logarithms that come from the laws of exponents?

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Properties of Logarithms

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Presentation transcript:

BELL RINGER  1. How do you convert from a logarithm to an exponential?  2. What are the properties of logarithms that come from the laws of exponents?  3. If you have the same bases equal, you can _______.

LOGARITHMS Tuesday & Wednesday, April 5 & 6, 2016

 Exponential GRAPHS  Logarithmic

INVERSE

NOTES  The inverse of an exponential function is a common logarithmic function.  Convert from exp. to log  b x = y  log b y = x  Convert from log to exp.  log b y = x  b x = y  Calculators only do log 10 aka “common log”, so log is really log base 10.  Change of Base  log b a = log a log b  log b 1 = 0  Can’t take  log 0 or log of a negative #  Can’t do  log base 0, or 1, or negative #

NOTES

PROPERTIES OF LOGS-- NOTES 1)log b m + log b n= log b mn 2) log b m – log b n = log b m n 3) p log b m = log b m p

SOLVING LOG EQUATIONS 1.If possible, get log of the same bases equal and “drop the log.” 2.If not, then change to exponential form and solve.

PRACTICE  Classwork: Solving Exponential & Logarithmic Equations # 1-20  Homework: Solving Exponential & Logarithmic Equations #21-30

EXIT TICKET  1. Explain how to convert between exponential and logarithmic form.  2. When can you “drop the logs”?  3. What is the inverse of e?