Explanation Properties used: Laws of exponents: 1. b x + y = b x b y 2. b x − y = b x b y 3. ( b x ) r = b r x 4. ( a b ) x = a x b x Here x and y are real numbers and a, b are positive numbers. Definition used: If b > 0 and r is any rational and irrational numbers, then b x = e x ln b . Here ,the function f ( x ) = b x is called the exponential function with base b . Calculation: The second law of exponents is, b x − y = b x b y . Use b x = e x ln b in b x − y = b x b y as follows

Single Variable Calculus: Early Transcendentals, Volume I

8th Edition

ISBN: 9781305270343

Author: James Stewart

Publisher: Cengage Learning

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Chapter G, Problem 8E

To determine

To prove: The second law of exponents.

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Chapter G Solutions

Single Variable Calculus: Early Transcendentals, Volume I

Ch. G - (a) By comparing areas, show that 13ln1.5512 (b)...Ch. G - Refer to Example 1. (a) Find the equation of the...Ch. G - By comparing areas, show that...Ch. G - (a) By comparing areas, show that ln 2 1 ln 3....Ch. G - Prob. 5E Ch. G - Prove the second law of exponents for ex [see...Ch. G - Prob. 7E Ch. G - Prob. 8E Ch. G - Prob. 9E Ch. G - Prob. 10E

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To prove: The second law of exponents.

Solution Summary: The author explains the second law of exponents.

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To prove: The second law of exponents.

Chapter G Solutions