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Express log⁡b(xxy7)\log b \left( x \sqrt[7]{\frac{x}{y}} \right) As the Sum or Difference of Simpler Logarithmic Quantities

Question 181

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Express log⁡b(xxy7)\log b \left( x \sqrt[7]{\frac{x}{y}} \right) as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.

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