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10.8 The Natural Log Function

10.8 The Natural Log Function. Natural Log. log 2 = log 10 2. Recall common log:. Natural log:. denoted. e is : irrational # like  , not variable  2.718. Base e. then log e x = 5. If ln x = 5,. Same laws & properties of logs apply to natural logs.

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10.8 The Natural Log Function

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  1. 10.8 The Natural Log Function

  2. Natural Log log2 = log10 2 Recall common log: Natural log: denoted e is : irrational # like , not variable  2.718

  3. Base e then logex= 5 If ln x = 5, Same laws & properties of logs apply to natural logs then (around the world!), so e5 = x If e x= 7, then loge7= x then ln 7 = x lne = lne e = 1 lnek = k(lne) = k(1) = k eln 7 = elne 7 = 7

  4. Example 1) Simplify

  5. Ex 2) Write as a single log Write as ln

  6. Solve—Leave answers in terms of “e” Ex 3) Ex 4) ( )-1 ( )-1

  7. Ex 4) Solve (write in terms of ln) Take natural log of both sides

  8. TOO 1) 2)

  9. TOO—Write as a single log

  10. Homework #6 Pg. 490 1 – 33 odd

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