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Determine whether the statement is true or false for all x > 0, y > 0.

Determine whether the statement is true or false for all x > 0, y > 0.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Determine whether the statement is true or false for all x > 0, y > 0. logp x logb x — logb У logp y True False If it is false, write an example that disproves the statement. O The statement is true. 1 log 100 – log 10 = -1 but 1og 100 2 log 10 log 100 log 10 10 = 10 but log 100 1 log 10 = 9 - log 100 2 = 2 but log 100 1 - log 10 = 1 - log 10 log 100 log 10 100 O log 100 – log 10 90 but = 10 10
Transcribed Image Text:Determine whether the statement is true or false for all x > 0, y > 0. logp x logb x — logb У logp y True False If it is false, write an example that disproves the statement. O The statement is true. 1 log 100 – log 10 = -1 but 1og 100 2 log 10 log 100 log 10 10 = 10 but log 100 1 log 10 = 9 - log 100 2 = 2 but log 100 1 - log 10 = 1 - log 10 log 100 log 10 100 O log 100 – log 10 90 but = 10 10
Determine if the statement is true or false for all x > 0, y > 0. log,(x + y) = log, x + log, y True False If it is false, write an example that disproves the statement. The statement is true. log(10 + 10) = log 20 2 but log 10 + log 10 # 2 log(10 + 10) = log 20 = 10 but log 10 + log 10 + 10 log 10 + log 10 2 but log(10 + 10) = log 20 + 2 log 10 + log 10 = 10 but log(10 + 10) = log 20 + 10 %3D
Transcribed Image Text:Determine if the statement is true or false for all x > 0, y > 0. log,(x + y) = log, x + log, y True False If it is false, write an example that disproves the statement. The statement is true. log(10 + 10) = log 20 2 but log 10 + log 10 # 2 log(10 + 10) = log 20 = 10 but log 10 + log 10 + 10 log 10 + log 10 2 but log(10 + 10) = log 20 + 2 log 10 + log 10 = 10 but log(10 + 10) = log 20 + 10 %3D
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