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log (xy) = log(x) + log(y) → log(x") = log(x × x x x x . .x x) = log(x) + log(x) + n log(x) ...= N Give an example where the above argument is not valid.

log (xy) = log(x) + log(y) → log(x") = log(x × x x x x . .x x) = log(x) + log(x) + n log(x) ...= N Give an example where the above argument is not valid.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 67E
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A student claims that it is enough to have only the product rule of logarithms, and that other rules can be derived from it, including the power rule. For example, the student derives the power rule from the product rule as follows:

log(xy) = log(x) + log(y) → log(x")= log(x x x × x x · …x x) = log(x) + log(x) + n log(x) Give an example where the above argument is not valid.
Transcribed Image Text:log(xy) = log(x) + log(y) → log(x")= log(x x x × x x · …x x) = log(x) + log(x) + n log(x) Give an example where the above argument is not valid.
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