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Logarithms

Logarithms. HW: Solutions. 1a. 1b. -36 1c. - 2a. a 5 2b. b 4 2c. c 20 3a. False; must have same base for ALoE 3b. False; must raise to a power before multiplying 3c. False; must raise to a power before dividing; or only one factor of 4 can be divided out; or it should be 4 x-1

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Logarithms

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  1. Logarithms

  2. HW: Solutions 1a. 1b. -36 1c. - 2a. a5 2b. b4 2c. c20 3a. False; must have same base for ALoE 3b. False; must raise to a power before multiplying 3c. False; must raise to a power before dividing; or only one factor of 4 can be divided out; or it should be 4x-1 4a. x = -2 4b. x = -3 4c. x = -5 6a. x12 6b. 8x12 6c. 10x7

  3. HW Solutions • -40m4n3 • 24x6y11 • -3x3y4

  4. Announcements • Quiz next block on Laws of Exponents • MANDATORY test corrections due next block • OPTIONAL Unit 2 Reflection due next block • HW pass • Unit 2 Test re-take Wednesday 12/11 & Thursday 12/12 • Let me know by Saturday.

  5. Test dates: • Block 3: 12/13 • Block 4, 5, & 6: 12/16 • Going forward, HW answers posted on Sharepoint?

  6. Warm-up • Graph the function y = 2x below using the table below: • Graph the inverse, with a different color.

  7. Logarithm • Logarithm: The inverse of an exponential function. • logbn = e • Read: log base b of n or log of e to base b

  8. Ben v. Benny • Exponential Form: be = n ex: 23 = 8 • Logarithmic Form: logbn = e ex: log28 = 3

  9. Practice • Re-write the following in logarithmic form: • 26 = 64 • 83 = 512 • 271/3 = 3 • 8-2/3 = ¼

  10. More Practice • Re-write the following in exponential form: • log381 = 4 • log164 = ½ • log100.01 = -2 • log81/4 = -2/3

  11. Solving for x • 10x = 1162.5 • log104 = x • 702 = 10x • log 35 = x • 4x = 128

  12. Change Base Formula logbn =

  13. Practice • log35 • log420 • log10100

  14. Unit 2 Test Review

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