Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - Standardized Test Practice - Multiple Choice - Page 546: 10

Answer

Answer B

Work Step by Step

$$\log(x+3)+\log x=1\\\log(x(x+3))=1\\\log(x^2+3x)=1\\x^2+3x=10\\x^2=3x-10=0\\(x+5)(x-2)=0\\x=-5 \lor x=2$$ Since $x=-5$ is not defined for the original equation, the only solution here is $x=2. $ Hence, the correct answer is $B$.
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