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4. Expand into sums and/or differences of logarithms: (a) log, y

4. Expand into sums and/or differences of logarithms: (a) log, y

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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**Problem 4: Expand into sums and/or differences of logarithms** (a) \(\log_x \left(\frac{x}{y\sqrt{z}}\right)\) *Solution Tip:* Apply the properties of logarithms to simplify expressions: - The logarithm of a quotient: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\) - The logarithm of a power: \(\log_b (M^n) = n \cdot \log_b M\) - The logarithm of a product: \(\log_b(M \cdot N) = \log_b M + \log_b N\)
Transcribed Image Text:**Problem 4: Expand into sums and/or differences of logarithms** (a) \(\log_x \left(\frac{x}{y\sqrt{z}}\right)\) *Solution Tip:* Apply the properties of logarithms to simplify expressions: - The logarithm of a quotient: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\) - The logarithm of a power: \(\log_b (M^n) = n \cdot \log_b M\) - The logarithm of a product: \(\log_b(M \cdot N) = \log_b M + \log_b N\)
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