College Algebra: Concepts Through Functions
4th Edition
ISBN: 9780134775807
Author: Sullivan
Publisher: PEARSON
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Chapter 7, Problem 6T
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Expanding a logarithmic expression: Problem type 3
Use the properties of logarithms to expand the following expression.
4(8+x)²
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Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log
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Use the properties of logarithms to expand the following expression.
log
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3/24
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You may assume that all variables are positive.
log
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log
X
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3
log
yz
5
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Chapter 7 Solutions
College Algebra: Concepts Through Functions
Ch. 7.1 - Prob. 1AYUCh. 7.1 - Prob. 2AYUCh. 7.1 - Prob. 3AYUCh. 7.1 - Prob. 4AYUCh. 7.1 - Prob. 5AYUCh. 7.1 - Prob. 6AYUCh. 7.1 - Prob. 7AYUCh. 7.1 - Prob. 8AYUCh. 7.1 - Prob. 9AYUCh. 7.1 - Prob. 10AYU
Ch. 7.1 - Prob. 11AYUCh. 7.1 - Prob. 12AYUCh. 7.1 - Prob. 13AYUCh. 7.1 - Prob. 14AYUCh. 7.1 - Prob. 15AYUCh. 7.1 - Prob. 16AYUCh. 7.1 - Prob. 17AYUCh. 7.1 - Prob. 18AYUCh. 7.1 - Prob. 19AYUCh. 7.1 - Prob. 20AYUCh. 7.1 - Prob. 21AYUCh. 7.1 - Prob. 22AYUCh. 7.1 - Prob. 23AYUCh. 7.1 - Prob. 24AYUCh. 7.1 - Prob. 25AYUCh. 7.1 - Prob. 26AYUCh. 7.1 - Prob. 27AYUCh. 7.1 - Prob. 28AYUCh. 7.1 - Prob. 29AYUCh. 7.1 - Prob. 30AYUCh. 7.1 - Prob. 31AYUCh. 7.1 - Prob. 32AYUCh. 7.1 - Prob. 33AYUCh. 7.1 - Prob. 34AYUCh. 7.1 - Prob. 35AYUCh. 7.1 - Prob. 36AYUCh. 7.1 - Prob. 37AYUCh. 7.1 - Prob. 38AYUCh. 7.1 - Prob. 39AYUCh. 7.1 - Prob. 40AYUCh. 7.1 - Prob. 41AYUCh. 7.1 - Prob. 42AYUCh. 7.1 - Prob. 43AYUCh. 7.1 - Prob. 44AYUCh. 7.1 - Prob. 45AYUCh. 7.1 - Prob. 46AYUCh. 7.1 - Prob. 47AYUCh. 7.1 - Prob. 48AYUCh. 7.1 - Prob. 49AYUCh. 7.1 - Prob. 50AYUCh. 7.1 - Prob. 51AYUCh. 7.1 - Prob. 52AYUCh. 7.1 - Prob. 53AYUCh. 7.1 - Prob. 54AYUCh. 7.1 - Prob. 55AYUCh. 7.1 - Prob. 56AYUCh. 7.1 - Prob. 57AYUCh. 7.1 - Prob. 58AYUCh. 7.1 - Prob. 59AYUCh. 7.1 - Prob. 60AYUCh. 7.1 - Prob. 61AYUCh. 7.1 - Prob. 62AYUCh. 7.1 - Prob. 63AYUCh. 7.1 - Prob. 64AYUCh. 7.1 - Prob. 65AYUCh. 7.1 - Prob. 66AYUCh. 7.1 - Prob. 67AYUCh. 7.1 - Prob. 68AYUCh. 7.1 - Prob. 69AYUCh. 7.1 - Prob. 70AYUCh. 7.1 - Prob. 71AYUCh. 7.1 - Prob. 72AYUCh. 7.1 - Prob. 73AYUCh. 7.1 - Prob. 74AYUCh. 7.1 - Prob. 75AYUCh. 7.1 - Prob. 76AYUCh. 7.1 - Prob. 77AYUCh. 7.1 - Prob. 78AYUCh. 7.1 - Prob. 79AYUCh. 7.1 - Prob. 80AYUCh. 7.1 - Prob. 81AYUCh. 7.1 - Prob. 82AYUCh. 7.1 - Prob. 83AYUCh. 7.1 - Prob. 84AYUCh. 7.1 - Prob. 85AYUCh. 7.1 - Prob. 86AYUCh. 7.1 - Prob. 87AYUCh. 7.1 - Prob. 88AYUCh. 7.1 - Prob. 89AYUCh. 7.1 - Prob. 90AYUCh. 7.1 - Prob. 91AYUCh. 7.1 - Prob. 92AYUCh. 7.1 - Prob. 93AYUCh. 7.1 - Prob. 94AYUCh. 7.1 - Prob. 95AYUCh. 7.1 - Prob. 96AYUCh. 7.1 - Prob. 97AYUCh. 7.1 - Prob. 98AYUCh. 7.1 - Prob. 99AYUCh. 7.1 - Prob. 100AYUCh. 7.1 - Write a paragraph that explains why the numbers...Ch. 7.1 - Prob. 102AYUCh. 7.1 - Prob. 103AYUCh. 7.1 - Prob. 104AYUCh. 7.1 - Prob. 105AYUCh. 7.2 - Prob. 1AYUCh. 7.2 - Prob. 2AYUCh. 7.2 - Prob. 3AYUCh. 7.2 - Prob. 4AYUCh. 7.2 - Prob. 5AYUCh. 7.2 - Prob. 6AYUCh. 7.2 - Prob. 7AYUCh. 7.2 - Prob. 8AYUCh. 7.2 - Prob. 9AYUCh. 7.2 - Prob. 10AYUCh. 7.2 - Prob. 11AYUCh. 7.2 - Prob. 12AYUCh. 7.2 - Prob. 13AYUCh. 7.2 - Prob. 14AYUCh. 7.2 - Prob. 15AYUCh. 7.2 - Prob. 16AYUCh. 7.2 - Prob. 17AYUCh. 7.2 - Prob. 18AYUCh. 7.2 - Prob. 19AYUCh. 7.2 - Prob. 20AYUCh. 7.2 - Prob. 21AYUCh. 7.2 - Prob. 22AYUCh. 7.2 - Prob. 23AYUCh. 7.2 - Prob. 24AYUCh. 7.2 - Prob. 25AYUCh. 7.2 - Prob. 26AYUCh. 7.2 - Prob. 27AYUCh. 7.2 - Prob. 28AYUCh. 7.2 - Prob. 29AYUCh. 7.2 - Prob. 30AYUCh. 7.2 - Prob. 31AYUCh. 7.2 - Prob. 32AYUCh. 7.2 - Prob. 33AYUCh. 7.2 - Prob. 34AYUCh. 7.2 - Prob. 35AYUCh. 7.2 - Prob. 36AYUCh. 7.2 - Prob. 37AYUCh. 7.2 - Prob. 38AYUCh. 7.2 - Prob. 39AYUCh. 7.2 - Prob. 40AYUCh. 7.2 - In Problems 39-56, find each sum.
41. 7 + 12 + 17...Ch. 7.2 - Prob. 42AYUCh. 7.2 - Prob. 43AYUCh. 7.2 - Prob. 44AYUCh. 7.2 - Prob. 45AYUCh. 7.2 - Prob. 46AYUCh. 7.2 - Prob. 47AYUCh. 7.2 - Prob. 48AYUCh. 7.2 - Prob. 49AYUCh. 7.2 - Prob. 50AYUCh. 7.2 - Prob. 51AYUCh. 7.2 - Prob. 52AYUCh. 7.2 - Prob. 53AYUCh. 7.2 - Prob. 54AYUCh. 7.2 - Prob. 55AYUCh. 7.2 - Prob. 56AYUCh. 7.2 - Prob. 57AYUCh. 7.2 - Prob. 58AYUCh. 7.2 - Prob. 59AYUCh. 7.2 - Prob. 60AYUCh. 7.2 - Prob. 61AYUCh. 7.2 - Prob. 62AYUCh. 7.2 - Prob. 63AYUCh. 7.2 - Prob. 64AYUCh. 7.2 - Prob. 65AYUCh. 7.2 - Prob. 66AYUCh. 7.2 - Prob. 67AYUCh. 7.2 - Prob. 68AYUCh. 7.2 - Prob. 69AYUCh. 7.2 - Prob. 70AYUCh. 7.2 - Prob. 71AYUCh. 7.2 - Prob. 72AYUCh. 7.2 - Prob. 73AYUCh. 7.2 - Prob. 74AYUCh. 7.2 - Prob. 75AYUCh. 7.3 - Prob. 1AYUCh. 7.3 - Prob. 2AYUCh. 7.3 - Prob. 3AYUCh. 7.3 - Prob. 4AYUCh. 7.3 - Prob. 5AYUCh. 7.3 - Prob. 6AYUCh. 7.3 - Prob. 7AYUCh. 7.3 - Prob. 8AYUCh. 7.3 - Prob. 9AYUCh. 7.3 - Prob. 10AYUCh. 7.3 - Prob. 11AYUCh. 7.3 - Prob. 12AYUCh. 7.3 - Prob. 13AYUCh. 7.3 - Prob. 14AYUCh. 7.3 - Prob. 15AYUCh. 7.3 - Prob. 16AYUCh. 7.3 - Prob. 17AYUCh. 7.3 - Prob. 18AYUCh. 7.3 - Prob. 19AYUCh. 7.3 - Prob. 20AYUCh. 7.3 - Prob. 21AYUCh. 7.3 - Prob. 22AYUCh. 7.3 - Prob. 23AYUCh. 7.3 - Prob. 24AYUCh. 7.3 - Prob. 25AYUCh. 7.3 - Prob. 26AYUCh. 7.3 - Prob. 27AYUCh. 7.3 - Prob. 28AYUCh. 7.3 - Prob. 29AYUCh. 7.3 - Prob. 30AYUCh. 7.3 - Prob. 31AYUCh. 7.3 - In Problems 27–32, find the indicated term of each...Ch. 7.3 - Prob. 33AYUCh. 7.3 - Prob. 34AYUCh. 7.3 - Prob. 35AYUCh. 7.3 - Prob. 36AYUCh. 7.3 - Prob. 37AYUCh. 7.3 - Prob. 38AYUCh. 7.3 - Prob. 39AYUCh. 7.3 - Prob. 40AYUCh. 7.3 - Prob. 41AYUCh. 7.3 - Prob. 42AYUCh. 7.3 - Prob. 43AYUCh. 7.3 - Prob. 44AYUCh. 7.3 - Prob. 45AYUCh. 7.3 - Prob. 46AYUCh. 7.3 - Prob. 47AYUCh. 7.3 - Prob. 48AYUCh. 7.3 - Prob. 49AYUCh. 7.3 - Prob. 50AYUCh. 7.3 - Prob. 51AYUCh. 7.3 - Prob. 52AYUCh. 7.3 - Prob. 53AYUCh. 7.3 - Prob. 54AYUCh. 7.3 - Prob. 55AYUCh. 7.3 - Prob. 56AYUCh. 7.3 - Prob. 57AYUCh. 7.3 - Prob. 58AYUCh. 7.3 - Prob. 59AYUCh. 7.3 - Prob. 60AYUCh. 7.3 - Prob. 61AYUCh. 7.3 - Prob. 62AYUCh. 7.3 - Prob. 63AYUCh. 7.3 - Prob. 64AYUCh. 7.3 - Prob. 65AYUCh. 7.3 - Prob. 66AYUCh. 7.3 - Prob. 67AYUCh. 7.3 - Prob. 68AYUCh. 7.3 - Prob. 69AYUCh. 7.3 - Prob. 70AYUCh. 7.3 - Prob. 71AYUCh. 7.3 - Prob. 72AYUCh. 7.3 - Prob. 73AYUCh. 7.3 - Prob. 74AYUCh. 7.3 - Prob. 75AYUCh. 7.3 - Prob. 76AYUCh. 7.3 - Prob. 77AYUCh. 7.3 - Prob. 78AYUCh. 7.3 - Prob. 79AYUCh. 7.3 - Prob. 80AYUCh. 7.3 - Prob. 81AYUCh. 7.3 - Prob. 82AYUCh. 7.3 - Prob. 83AYUCh. 7.3 - Prob. 84AYUCh. 7.3 - Prob. 85AYUCh. 7.3 - Prob. 86AYUCh. 7.3 - Prob. 87AYUCh. 7.3 - Prob. 88AYUCh. 7.3 - Prob. 89AYUCh. 7.3 - Prob. 90AYUCh. 7.3 - Prob. 91AYUCh. 7.3 - Prob. 92AYUCh. 7.3 - Prob. 93AYUCh. 7.3 - Prob. 94AYUCh. 7.3 - Prob. 95AYUCh. 7.3 - Prob. 96AYUCh. 7.3 - Prob. 97AYUCh. 7.3 - Prob. 98AYUCh. 7.3 - Prob. 99AYUCh. 7.3 - Prob. 100AYUCh. 7.3 - Prob. 101AYUCh. 7.3 - Prob. 102AYUCh. 7.3 - Prob. 103AYUCh. 7.3 - Prob. 104AYUCh. 7.3 - Prob. 105AYUCh. 7.3 - Prob. 106AYUCh. 7.3 - Prob. 107AYUCh. 7.3 - Prob. 108AYUCh. 7.3 - Prob. 109AYUCh. 7.3 - Prob. 110AYUCh. 7.3 - Prob. 111AYUCh. 7.3 - Prob. 112AYUCh. 7.3 - Prob. 113AYUCh. 7.3 - Prob. 114AYUCh. 7.3 - Prob. 115AYUCh. 7.3 - Prob. 116AYUCh. 7.4 - Prob. 1AYUCh. 7.4 - Prob. 2AYUCh. 7.4 - Prob. 3AYUCh. 7.4 - Prob. 4AYUCh. 7.4 - Prob. 5AYUCh. 7.4 - Prob. 6AYUCh. 7.4 - Prob. 7AYUCh. 7.4 - Prob. 8AYUCh. 7.4 - In Problems 1-22, use the Principle of...Ch. 7.4 - Prob. 10AYUCh. 7.4 - Prob. 11AYUCh. 7.4 - Prob. 12AYUCh. 7.4 - Prob. 13AYUCh. 7.4 - Prob. 14AYUCh. 7.4 - Prob. 15AYUCh. 7.4 - Prob. 16AYUCh. 7.4 - In Problems 1-22, use the Principle of...Ch. 7.4 - Prob. 18AYUCh. 7.4 - Prob. 19AYUCh. 7.4 - Prob. 20AYUCh. 7.4 - Prob. 21AYUCh. 7.4 - Prob. 22AYUCh. 7.4 - Prob. 23AYUCh. 7.4 - Prob. 24AYUCh. 7.4 - Prob. 25AYUCh. 7.4 - Prob. 26AYUCh. 7.4 - Prob. 27AYUCh. 7.4 - Prob. 28AYUCh. 7.4 - Prob. 29AYUCh. 7.4 - Prob. 30AYUCh. 7.4 - Prob. 31AYUCh. 7.4 - Prob. 32AYUCh. 7.4 - Prob. 33AYUCh. 7.4 - How would you explain the Principle of...Ch. 7.4 - Prob. 35AYUCh. 7.4 - Prob. 36AYUCh. 7.4 - Prob. 37AYUCh. 7.4 - Prob. 38AYUCh. 7.5 - Prob. 1AYUCh. 7.5 - Prob. 2AYUCh. 7.5 - Prob. 3AYUCh. 7.5 - The ______ can he used to expand expressions like...Ch. 7.5 - Prob. 5AYUCh. 7.5 - Prob. 6AYUCh. 7.5 - Prob. 7AYUCh. 7.5 - Prob. 8AYUCh. 7.5 - Prob. 9AYUCh. 7.5 - Prob. 10AYUCh. 7.5 - Prob. 11AYUCh. 7.5 - Prob. 12AYUCh. 7.5 - Prob. 13AYUCh. 7.5 - Prob. 14AYUCh. 7.5 - Prob. 15AYUCh. 7.5 - Prob. 16AYUCh. 7.5 - Prob. 17AYUCh. 7.5 - Prob. 18AYUCh. 7.5 - Prob. 19AYUCh. 7.5 - Prob. 20AYUCh. 7.5 - Prob. 21AYUCh. 7.5 - Prob. 22AYUCh. 7.5 - Prob. 23AYUCh. 7.5 - Prob. 24AYUCh. 7.5 - Prob. 25AYUCh. 7.5 - Prob. 26AYUCh. 7.5 - Prob. 27AYUCh. 7.5 - Prob. 28AYUCh. 7.5 - Prob. 29AYUCh. 7.5 - Prob. 30AYUCh. 7.5 - Prob. 31AYUCh. 7.5 - Prob. 32AYUCh. 7.5 - Prob. 33AYUCh. 7.5 - Prob. 34AYUCh. 7.5 - Prob. 35AYUCh. 7.5 - Prob. 36AYUCh. 7.5 - Prob. 37AYUCh. 7.5 - Prob. 38AYUCh. 7.5 - Prob. 39AYUCh. 7.5 - Prob. 40AYUCh. 7.5 - Prob. 41AYUCh. 7.5 - Prob. 42AYUCh. 7.5 - Prob. 43AYUCh. 7.5 - Prob. 44AYUCh. 7.5 - Prob. 45AYUCh. 7.5 - Prob. 46AYUCh. 7.5 - Prob. 47AYUCh. 7.5 - Prob. 48AYUCh. 7.5 - Prob. 49AYUCh. 7.5 - Prob. 50AYUCh. 7.5 - Prob. 51AYUCh. 7.5 - Prob. 52AYUCh. 7.5 - Prob. 53AYUCh. 7.5 - Prob. 54AYUCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CR
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- Assume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forwardO Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the figure below. 76 2 8 5 7 8 19 8 9 Domain of f Range of f Domain of g Range of g 3/5 Anthony Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: ☐ (b) Range of gof: ☐ Х Explanation Check 0,0,... Español لكا ©2025 McGraw Hill LLC. All Rights Reserved Torms of lico Privacy Contor Accessibility.arrow_forwardTwo functions ƒ and g are defined in the figure below. g 6 6 7 8 8 8 9 Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: (b) Range of gof: ☐ ☑ 0,0,...arrow_forward
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