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Bellwork : Write in log form: 4 2 =16 b) 8 1/3 = 2 Write in exponential form:

Bellwork : Write in log form: 4 2 =16 b) 8 1/3 = 2 Write in exponential form: c) log 3 9= 2 d) log 64 8= 1/2. Expanding and Condensing Logs. Multiplying when condensed means adding when expanded. Dividing when condensed means subtracting when expanded. Expand: log 3 4x log 3.

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Bellwork : Write in log form: 4 2 =16 b) 8 1/3 = 2 Write in exponential form:

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  1. Bellwork: Write in log form: 42=16 b) 81/3= 2 Write in exponential form: c) log3 9= 2 d) log64 8= 1/2

  2. Expanding and Condensing Logs • Multiplying when condensed means adding when expanded. • Dividing when condensed means subtracting when expanded.

  3. Expand: • log3 4x • log3

  4. Expand: • log2 5yz • log2

  5. Condense: • log3 x – log3 2 • log4 3 + log4 5

  6. Condense: • log5 x + log5 2 • log4 3 - log4 4

  7. One last rule… Exponents when condensed become coefficients when expanded.

  8. Expand: • log4 x3 Condense: 2. 4log3 y

  9. Put it all together… Expand: • log4 • Log6 36x2

  10. Expand: • Log 10x3 • Log4 x2y1/3 • Log2

  11. Condense: • 2log x + log 11 • 5log4 2 + 7log4 x - 4log4 y • log5 4 - log5 x

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