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Use the Properties of Logarithms to Expand the Following Expression. Logsqrt ((yz^5)/(x^3)) Each Logarithm Should Involve Only One

Question

Use the properties of logarithms to expand the following expression. logsqrt ((yz^5)/(x^3)) Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. logsqrt ((yz^5)/(x^3))=

Solution

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4.1 (164 Votos)
Manuela Maria Mestre · Tutor por 5 anos

Resposta

To expand the given expression using the properties of logarithms, we can follow these steps:1. Rewrite the expression inside the logarithm as a product of variables and exponents.2. Apply the logarithm properties to separate the terms.Given expression: Step 1: Rewrite the expression inside the logarithm as a product of variables and exponents. Step 2: Apply the logarithm properties to separate the terms. Therefore, the expanded expression is: