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Determine whether the statement is true or false for all x > 0. (log, x)" = n log, × True False If it is false, write an example that disproves the statement. The statement is true. 2 log 10 = 10 but (log 10)2 = 100 (log 10)2 = 1 but 2 log 10 = 2 %3D (log 10)2 = 100 but 2 log 10 = 20 2 log 10 = 2/10 but (log 10)² = 10 %3D

Determine whether the statement is true or false for all x > 0. (log, x)" = n log, × True False If it is false, write an example that disproves the statement. The statement is true. 2 log 10 = 10 but (log 10)2 = 100 (log 10)2 = 1 but 2 log 10 = 2 %3D (log 10)2 = 100 but 2 log 10 = 20 2 log 10 = 2/10 but (log 10)² = 10 %3D

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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A solution has a hydronium-ion concentration of about \(3.91 \times 10^{-11}\) mole per liter. Determine the pH of the solution, and state whether the solution is an acid or a base. (Round your answer to one decimal place.) pH = [Text Box] The solution is [Dropdown Menu: ---Select---].
Transcribed Image Text:A solution has a hydronium-ion concentration of about \(3.91 \times 10^{-11}\) mole per liter. Determine the pH of the solution, and state whether the solution is an acid or a base. (Round your answer to one decimal place.) pH = [Text Box] The solution is [Dropdown Menu: ---Select---].
**Problem Statement:** Determine whether the statement is true or false for all \( x > 0 \). \[ (\log_b x)^n = n \log_b x \] - ○ True - ○ False **If it is false, write an example that disproves the statement.** - ○ The statement is true. - ○ \(2 \log 10 = 10\) but \((\log 10)^2 = 100\) - ○ \((\log 10)^2 = 1\) but \(2 \log 10 = 2\) - ○ \((\log 10)^2 = 100\) but \(2 \log 10 = 20\) - ○ \(2 \log 10 = 2\sqrt{10}\) but \((\log 10)^2 = 10\)
Transcribed Image Text:**Problem Statement:** Determine whether the statement is true or false for all \( x > 0 \). \[ (\log_b x)^n = n \log_b x \] - ○ True - ○ False **If it is false, write an example that disproves the statement.** - ○ The statement is true. - ○ \(2 \log 10 = 10\) but \((\log 10)^2 = 100\) - ○ \((\log 10)^2 = 1\) but \(2 \log 10 = 2\) - ○ \((\log 10)^2 = 100\) but \(2 \log 10 = 20\) - ○ \(2 \log 10 = 2\sqrt{10}\) but \((\log 10)^2 = 10\)
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