Mathematics, 29.01.2020 21:02 deebroussard
Evaluate rge following logarithmic expression without the use of a calculator. enter your answer as a fraction reduced to lowest terms. log8(7√64)
Answers: 2
![\bf log_8(\sqrt[7]{64})\qquad 64=8^2\qquad log_8(\sqrt[7]{8^2})\\\\ -----------------------------\\\\ log_{{ a}}{{ a}}^x\implies x\impliedby \textit{using this cancellation rule}\\\\ -----------------------------\\\\ log_8\left( 8^{\frac{2}{7}} \right)\implies \cfrac{2}{7}](/tpl/images/0483/3247/de4ff.png)
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