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Day 42: November 5th Objective: Apply strategies for finding inverses to parent graph equations. Begin to think of the inverse function for y=3x. THEN Define the term logarithm as the inverse exponential function or, when y=bx, “y is the exponent to use with base b to get x.” • Homework Check • 6-54 to 6-58 (pgs 277-279) • Wells Time • 6-67 to 6-71 (pgs 281-282) • Closure Homework: 6-59 to 6-66 (pgs 279-280) AND 6-72 to 6-80 (pgs 283-284) Project Due: Monday, November 8th Silent Board Game 1 2 x 8 32 1 16 4 3 64 3 5 1 0 4 2 6 1 x 2 0 0.25 1 2 0.2 8 1 1 2 3 2 g x g x 1.6 ~ 2.3 g x log 2 x Silent Board Game x 1 0 0.2 1 2 1 3 2 1 0 2 x 2 3 4 8 16 32 64 1 2 3 4 5 6 1 0.25 2 1 8 ~ 2.3 g x g x 1.6 g x log 2 x 6-71: Closure log 7 49 2 log 3 81 4 7 10 1.2 2 w + 3 7 log 5 5 log10 log 2 1.2 w 3 Logarithm's Undo Exponentials Log’s give you exponents! y2 Inverses x x2 y Same as y log2 x Logarithm and Exponential Forms y = log2(32) y 2 = 32 Logarithms This is the general form: a b x log a b x a>0 b>0 The logarithm base a of b is the exponent you put on a to get b. i.e. Logs give you exponents!