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log(A):-1 leg (B) logles= 3 1o9/A JB B 3. A. B" C

log(A):-1 leg (B) logles= 3 1o9/A JB B 3. A. B" C

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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### Logarithms Exercise Given: - \(\log(A) = -7\) - \(\log(B) = 4\) - \(\log(C) = -3\) Calculate the following expressions: 1. \(\log\left(\frac{A^5}{\sqrt{B}}\right) =\) 2. \(\log\left(\frac{B}{C^3}\right)\) 3. \(\log\left(\frac{A}{B^4C}\right)\) **Instructions:** Use the properties of logarithms to simplify and solve the expressions: - **Power Rule**: \(\log(a^n) = n \cdot \log(a)\) - **Quotient Rule**: \(\log\left(\frac{a}{b}\right) = \log(a) - \log(b)\) - **Square Root**: \(\log(\sqrt{a}) = \frac{1}{2} \log(a)\) Substitute the given logarithm values to compute the results for each expression.
Transcribed Image Text:### Logarithms Exercise Given: - \(\log(A) = -7\) - \(\log(B) = 4\) - \(\log(C) = -3\) Calculate the following expressions: 1. \(\log\left(\frac{A^5}{\sqrt{B}}\right) =\) 2. \(\log\left(\frac{B}{C^3}\right)\) 3. \(\log\left(\frac{A}{B^4C}\right)\) **Instructions:** Use the properties of logarithms to simplify and solve the expressions: - **Power Rule**: \(\log(a^n) = n \cdot \log(a)\) - **Quotient Rule**: \(\log\left(\frac{a}{b}\right) = \log(a) - \log(b)\) - **Square Root**: \(\log(\sqrt{a}) = \frac{1}{2} \log(a)\) Substitute the given logarithm values to compute the results for each expression.
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