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Study Guide and Review - Chapter 3
Expand each expression.
3 3 6
32. log3 9x y z
SOLUTION: Condense each expression.
36. 3 log3 x – 2 log3 y
SOLUTION: 33. log5 x2a 7
SOLUTION: 37. log2 a + log2 (b + 1)
SOLUTION: 34. SOLUTION: 38. 5 ln (x + 3) + 3 ln 2x – 4 ln (x – 1)
SOLUTION: 35. SOLUTION: Solve each equation.
39. 3x + 3 = 27x – 2
SOLUTION: Condense each expression.
36. 3 log3 x – 2 log3 y
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37. log2 a + log2 (b + 1)
40. 253x + 2 = 125
SOLUTION: Page 1
Study Guide and Review - Chapter 3
40. 253x + 2 = 125
SOLUTION: 43. log2 x + log2 3 = log2 18
SOLUTION: 44. log6 x + log6 (x – 5) = 2
SOLUTION: 41. e2x – 8ex + 15 = 0
SOLUTION: 4 − 5 < 0 and the logarithm of a negative number
provides no real solution, so x = 9.
x = ln 3 or ln 5
42. ex – 4e−x = 0
SOLUTION: 43. log2 x + log2 3 = log2 18
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SOLUTION: Page 2