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College Algebra K /DC Friday, 28 March 2014

College Algebra K /DC Friday, 28 March 2014. OBJECTIVE TSW use properties of exponents to solve exponential equations. ASSIGNMENT DUE MON DAY, 03/31/2014 Sec. 4.1: p. 413 (55-75 odd, 77-82 all) I’ll give graph paper for the graphs. RELOCATION FOR 5 TH PERIOD ONLY

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College Algebra K /DC Friday, 28 March 2014

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  1. College Algebra K/DCFriday, 28 March 2014 • OBJECTIVETSW use properties of exponents to solve exponential equations. • ASSIGNMENT DUE MONDAY, 03/31/2014 • Sec. 4.1: p. 413 (55-75 odd, 77-82 all) • I’ll give graph paper for the graphs. • RELOCATION FOR 5TH PERIOD ONLY • Tuesday, 01 April 2014: Room 2266 • TODAY’S ASSIGNMENT • Sec. 4.2: p. 429 (49-69 all) • 49-58 all: Due before you leave today. • 59-69 all: Due on Tuesday, 01 April 2014

  2. Exponential Functions 4.2 Exponents and Properties ▪ Exponential Functions▪ Exponential Equations▪ The Number e

  3. Properties of Exponents n times

  4. Evaluating an Exponential Expression • If , find each of the following. (a) (b) (c) (d)

  5. Using a Property of Exponents to Solve an Equation Definition of negative exponent Write 125 as a power of 5. Set exponents equal. The variable is the exponent, so get a common base first. Once the bases are the same, set the exponents equal to each other. An equation is being solved, so use solution sets. Solution set: {–3}

  6. Using a Property of Exponents to Solve an Equation Write 9 as a power of 3. Set exponents equal. Solve for x. Solution set: {7}

  7. Using a Property of Exponents to Solve an Equation Raise both sides to the 2/5 power. Write 243 as a power of 5. Simplify.

  8. Using a Property of Exponents to Solve an Equation • It is necessary to check all proposed solutions in the original equation when both sides have been raised to a power. Check b = 9. Solution set: {9}

  9. The Number e • e is a real number, not a variable. To nine decimal places, • e≈ 2.718281828. • e is irrational.

  10. Assignment: Sec. 4.2: p. 429 (49-58 all) Due before you leave today, 03/28/2014. • Write the problem and solve. Use solution sets.

  11. Assignment: Sec. 4.2: p. 429 (59-69 all)Due on Tuesday, 01 April 2014. • Write the problem and solve. Use solution sets.

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