Math  /  Algebra

QuestionWrite as the sum and/or difference of logarithms. Express powers as factors. log3(x6y7)\log _{3}\left(\frac{x^{6}}{y^{7}}\right)

Studdy Solution
Combine the results from the power rule application to express the original logarithm as a sum and/or difference of logarithms:
log3(x6y7)=6log3(x)7log3(y)\log _{3}\left(\frac{x^{6}}{y^{7}}\right) = 6 \cdot \log _{3}(x) - 7 \cdot \log _{3}(y)

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