Explanation Given information : The statement “If x > 0 and a > 1 , then ln x ln a = ln x a .” Consider the provided statement “If x > 0 and a > 1 , then ln x ln a = ln x a .” The statement is not true, because the logarithmic function follows different kind of quotient property that is if x > 0 and a > 1 , then ln x a = ln x − ln a . Counter example: Take the values x as 5 and a as 3. Evaluate the value of the function at the given points, ln 3 = 1.0986 and ln 5 = 1.6094 . Now, obtain the value of ln x ln a , ln 5 ln 3 = 1

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Chapter 1, Problem 11TFQ

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To find: Whether the statement “If x>0 and a>1 , then lnxlna=lnxa .” is true or false.

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Chapter 1, Problem 10TFQ

Chapter 1, Problem 12TFQ

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Chapter 1 Solutions

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Whether the statement “If x > 0 and a > 1 , then ln x ln a = ln x a .” is true or false.

Solution Summary: The author analyzes whether the statement "If x>0 and an>1 is true or false because the logarithmic function follows different kind of quotient property.

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To find: Whether the statement “If x>0 and a>1 , then lnxlna=lnxa .” is true or false.

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Chapter 1 Solutions

Whether the statement “If x &gt; 0 and a &gt; 1 , then ln x ln a = ln x a .” is true or false.

Solution Summary: The author analyzes whether the statement "If x>0 and an>1 is true or false because the logarithmic function follows different kind of quotient property.

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To find: Whether the statement “If x>0 and a>1 , then lnxlna=lnxa .” is true or false.

Want to see the full answer?

Chapter 1 Solutions

Whether the statement “If x > 0 and a > 1 , then ln x ln a = ln x a .” is true or false.