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This practice exam was produced by RTD Learning for not-for-profit use by Alberta students and teachers. 1. A. 𝑥∈𝑅 B. 𝑥>‒5 C. 𝑥<‒5 D. 𝑥< 5 Use the following information to answer the next two questions. A function is defined by , where and are integers, and .𝑓(𝑥)= 𝑙𝑜𝑔 𝑏 (𝑎𝑥+ 𝑏) 𝑏 𝑎 𝑎> 0 ...
Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a)e 4x=. b)e 92y=. c)2e 1 9−z+ =. d)4e 7 572w− =. e)2e 7 243−3t− =.
Math 30-1: Exponential and Logarithmic Functions. PRACTICE EXAM. 1. All of the following are exponential functions except: y = 1x. y = 2x. y = 3x. 2. The point (-3, n) exists on the exponential graph shown. The value of n is: 3. The graph of. has: A vertical asymptote at x = -3. A horizontal asymptote at x = -3. A vertical asymptote at y = -2.
Section 1. Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.
Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 4 log 0.52 2− b) log 10 log 52 2− c) 2log 4 log 82 2+ d) 2log 5 2log 0.2520 20− e) 3log 8 3log 324 24+ 3 , 1 , 7 , 2 , 3
Expand each logarithm. 1) log (u2 v) 3 2) log 6 (u4v4) 3) log 5 3 8 ⋅ 7 ⋅ 11 4) log 4 (u6v5) 5) log 3 (x4 y) 3 Condense each expression to a single logarithm. 6) ln 5 + ln 7 + 2ln 6 7) 4log 2 6 + 3log 2 7 8) log 8 x + log 8 y + 6log 8 z 9) 18 log 9 x − 6log 9 y 10) 4log 8 7 + log 8 6 3 Rewrite each equation in exponential form. 11) log 2 ...
Exponentials and Logarithms Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name. • Answer all questions and ensure that your answers to parts of questions are clearly labelled..
