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1/11 Adv. Alg Bell Ringer

1/11 Adv. Alg Bell Ringer. Grab today’s materials Questions from homework? Simplify the following exponents based on your properties of exponents 2x(3x 3 ) (4x 2 y 4 ) 3 4x 2 y 2 / 2xy. Homework: Finish 1/11 IP!

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1/11 Adv. Alg Bell Ringer

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  1. 1/11 Adv. Alg Bell Ringer Grab today’s materials Questions from homework? Simplify the following exponents based on your properties of exponents 2x(3x3) (4x2y4)3 4x2y2 / 2xy Homework: Finish 1/11 IP! Fill in Log Sum, Log Difference, and Log Exponential Properties on VOCABULARY

  2. 1/11 News and Notes Homework Checked? Perfection Award: 4th Period. I still need to talk to Oscar, Shacora and DeAndra

  3. Tomorrow I will be out of town for a meeting. You will have a sub and a worksheet. That worksheet is worth 10 points. Do not let your name appear on the sub’s note to me. Calculators will require an ID to check out It is expected that you turn in the worksheet on Thursday!

  4. 1/11 Agenda I CAN discover the log sum, log difference, and log exponent properties. 1. Bell Ringer 2. New Material – Discovery 3. Guided Practice 4. Independent Practice

  5. What’s the relationship between exponential and logarithmic? • They are the inverse of one another • Today we will further their relationship by looking at the properties of logarithms. • You’ll notice some nice similarities between them and the properties of exponents from yesterday.

  6. Quick Example • b0 = 1 • Convert to a logarithm: • Logb(1) = 0 • In words: • “The log of 1 in any base is 0”

  7. Log Sum Property • Recall bn(bm) = bn+m • Well guess what? It’s the same for logs! • logb(p*q) = logb(p) + logb(q) • In words: The log of a product = the sum of the logs.

  8. Log Difference Property • Recall bn / (bm) = bn-m • Well guess what? It’s the same for logs! • In words: The log of a quotient = the difference of the logs.

  9. Log Exponential Property • In words: The log of an exponential expression = product of the log and the exponent.

  10. 3 Simple Examples Expand this logarithm: log(5*12) = log(5) + log(12) Condense the following logarithm: log2(x) – log2(3) = Log2(x/ 3)

  11. 3rd Example Expand the logarithm • log3(xy)2 = • 2log3(xy) = • 2log3(x) + 2log3(y)

  12. Now try this one with your partner on your own pace… = Log10(3x) – log10(y4) = Log10(3) + log10(x) – log10(y4) = Log10(3) + log10(x) – 4log10(y) = 0.477 + log10(x) – 4log10(y)

  13. Independent Practice • You now should start the independent practice. • Stamps are earned by getting 1 – 3 finished to perfection.

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