AllyzonY700940 AllyzonY700940

03-11-2022
Mathematics

contestada

Suppose logex = 3, log y = 7, and logz= -2.Find the value of the following expression.loga42

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LilliaunaU18091 LilliaunaU18091

03-11-2022

[tex]\begin{gathered} \log _ax=3 \\ \log _ay=7 \\ \log _az=-2 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} \log _ax^3+\log _ay-\log _az^4=\log _a(\frac{x^3y}{z^4}) \\ 3\log _ax^{}+\log _ay-4\log _az=3(3)+7-4(-2)=9+7-8=8 \end{gathered}[/tex]

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