Warm-up Evaluate: 1) 4) 2) 5) 3)

Homework Answers 1) 1 3) 5 5) 2/3 7) 3 9) 5 11) 1/3 1) 1 3) 5 5) 2/3 7) 3 9) 5 11) 1/3 13) 3 19) 3 21) 0.5 23) 6 25)  0.975 27) Undefined 29)  1.399 31) Undefined 33) 100 45) Reflect over y-axis & shift right 2 units 51) Reflect over y-axis, shift right 3 units, stretch vertically by 2, & shift down 1 unit 53) D: (2,); R(-, ); Continuous; Always increasing; Not symmetric; Unbounded; No local extrema; Asymptote: x = 2; end behavior approaches  60)  10.2019 lumens

3.4 Properties of logarithms Be able to apply the properties of logs to evaluate expressions Be able to re-express data

3.4 Properties of Logarithms Product Rule Where b, R, S are positive real numbers with b≠1

Examples? Expand. a) b) c)

Where b, R, S are positive real numbers with b≠1 Quotient Rule Where b, R, S are positive real numbers with b≠1

More examples… Expand a) b) c)

Power Rule Where b, R, S are positive real numbers with b≠1, and c is any real number.

Yes, another set (NICE!) Simplify a) b) c)

Oh my, there is more: Expand a) b)Turn to page 312 and write true or false for 1-8 in Exploration 2

Change-of-Base formula for logarithms Where a, b, x are positive real numbers, and a ≠1, b ≠1.

Examplified

Quiz time Clear your desks, and get ready to an In-”quiz”-ative good time. You have ___ minutes to complete the quiz.

Homework. Pg 317 #’s 1-33odd 39, 41, 49, 52 53???(without calculator)