Stitz-Zeager_College_Algebra_e-book

As with the algebraic functions in section 53 this

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Unformatted text preview: 3 = (x + 3) − 3 Since 2log2 (u) = u for all real numbers u > 0 =x 5. Last, but certainly not least, we graph y = f (x) and y = f −1 (x) on the same set of axes and see the symmetry about the line y = x. 9 Pay attention - can you spot in which step below we need x > −3? 6.1 Introduction to Exponential and Logarithmic Functions y 8 7 6 5 4 3 2 1 −3 −2 −1 −1 1 2 3 4 5 6 7 8 −2 y = f (x) = 2x−1 − 3 y = f −1 (x) = log2 (x + 3) + 1 x 341 342 6.1.1 Exponential and Logarithmic Functions Exercises 1. Evaluate the expression. (a) (b) (c) (d) (e) (f) (g) log3 (27) log6 (216) log2 (32) 1 log6 36 log8 (4) log36 (216) log 1 (625) 5 (h) log 1 (216) 6 (i) log36 (36) 1 log 1000000 log(0.01) ln e3 log4 (8) log6 (1) √ log13 13 √ 4 36 (p) log36 (s) log36 36216 (j) (k) (l) (m) (n) (o) (t) ln e5 √ 9 1011 (u) log √ 3 (v) log 105 (w) ln 1 √ e (x) log5 3log3 (5) (q) 7log7 (3) (r) 36log36 (216) (y) log eln(100) 2. Find the domain of the function. (a) (b) (c) (d) (e) (f) (g) (h) f (x) = ln(x2 + 1...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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