Explanation Given: The equation, 2 x 2 + 4 x = 1 16 Concept Used: Exponent property of Equality : If the same bases raised to different exponents are equal to each other, then their exponents will be equal as well. That is, if a m = a n then m = n Power property of exponents : ( a m ) n = a m ⋅ n Calculation: Consider the number, 2 x 2 + 4 x = 1 16 In order to solve the given equation, first write the expressions both side as an exponent of same base 2 and then use the exponent property of equality to simplify further. So, the given equation can be written as 2 x 2 + 4 x = 1 16 2 x 2 + 4 x = 1 2 4 2 x 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2, Problem 14SP

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Solve the equation 2x2+4x=116 for x.

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Chapter 2 Solutions

Calculus

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Solve the equation 2 x 2 + 4 x = 1 16 for x.

Solution Summary: The author explains how to solve a given equation using the exponent property of equality.

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Solve the equation 2x2+4x=116 for x.

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Chapter 2 Solutions