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7.4 Properties of Logs

7.4 Properties of Logs. Properties of Logs: log b MN = log b M + log b N log b M/N = log b M – log b N log b M x = x log b M. Example: Rewrite each expression. log 2 8 – log 2 4 = log 2 8/4 = log 2 2 = 1 2) 3log b 4 - 3log b 2 =

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7.4 Properties of Logs

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  1. 7.4 Properties of Logs

  2. Properties of Logs: logb MN = logb M + logb N logb M/N = logb M – logb N logb Mx = x logb M

  3. Example: Rewrite each expression. • log28 – log24 = log2 8/4 = log22 = 1 2) 3logb4 - 3logb2 = logb43 – logb23 = logb64 – logb8 = logb 64/8 = logb 8

  4. Expand each log: • log5 x/y = log5 x – log5 y 2) log7 a3b4 = Answer: 3log7a + 4log7b

  5. Change of Base Forumla

  6. We can use the change of base formula to solve any log, often we will use base 10 Ex. Log315 = ? 3 to what power is 15? Log315 = log 15 / log 3, now use your calculator. = 2.46

  7. HW pg 466 9 – 37 all This is not on the quiz on Weds

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