Exercises-Exponentials

# Exercises-Exponentials - a 5 x 5 x 1 = 3750 b 7 x 2 4 Â 7...

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MA100, Fall 2010, PART 1: Precalculus Exponential Functions - Exercises 1) Bring the following expression to a simpler form (do not use a calculator!) a) 1 2 12 · 4 3 2 · 1 8 27 · 16 2 b) 12 48 4 108 · 2 27 3 6 27 2) Solve the equations: a) 5 x = 125 b) 4 x = 64 c) 2 x +3 = 16 d) 3 x = 3 9 f) 4 9 x = 2 3 - 6 g) 3 2 x - 1 = 81 3) Solve the inequalities (while tempting, it is easier to solve them without using a calculator!): a) 3 x 729 b) 2 x 1 4 c) 2 x 1 64 d) 3 x 3 e) 2 x · 2 > 1 8 f) 1 81 x · 3 1 g) 1 100 2 · 10 x < 1 h) 32 3 2 x > 1 4 i) 1 5 1 2 x < 1 4 4) Solve the equations:
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Unformatted text preview: a) 5 x + 5 x +1 = 3750 b) 7 x +2 + 4 Â· 7 x-1 = 347 5) Solve the equations: a) 5 2 x-5 x-600 = 0 b) 9 x-3 x-6 = 0 c) 4 x + 2 x +1 = 80 d) 3 x + 9 x-1-810 = 0 Answers to selected exercises: 1) a) 2-8 âˆš 3 b) (3 Â· 2 20 ) âˆš 3 2) a) x = 3 c) x =-3 f) x =-3 3) c) x â‰¥ -4 e) x >-8 g) x < 8 i) x <-10 4) a) x = 4 b) x = 1 5) a) x = 2 c) x = 3 d) x = 4 1...
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