Exercises-Logarithms - y = 3 b xy = 40 x log y = 4 c x y-y...

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MA100, Fall 2010, PART 1: Precalculus Logarithms - Exercises 1) Find x such that: a) log a x = log a 3 + log a 4 - log a 5 b) log a x = 2 log a 7 + 3 log a 6 - 4 log a 5 2) Solve (for x ) the equations: a) 7 · 2 x = 5 · 3 x b) 11 x = 17 x c) a x = b x (for some a,b > 0) d) 6 2 x +4 = 2 8+ x · 3 3 x f) log x = log 2 g) log x = - log 2 h) log 2 ( x - 1) = log 2 ( x 2 - x - 16) i) 2 log x log(5 x - 4) = 1 3) Solve the equations: a) log x - 1 ( x 2 - 5 x + 7) = 1 b) log x 2 - log x 3 = 2 c) log x ( x + 3) = log x ( x 2 + 1) 4) Solve the systems: a) x - y = 90 log x + log
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Unformatted text preview: y = 3 b) xy = 40 x log y = 4 c) x y-y x = 0 2 x-4 y = 0 Answers to selected exercises: 2) b) x = 0 , c) x = 0 , d) x = 4 g) x = 1 / 2 , h) x = 5 i) x = 4 3) a) x = 4 b) x = r 2 3 c) x = 2 4) a) x = 100 ,y = 10 b) x = 4 ,y = 10 or x = 10 ,y = 4 c) x = 4 ,y = 2 1...
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