Question

simplifique a expressão
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Answer 1

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$\boxed{\begin{array}{l}\sf\ell og_32\cdot\ell og_25\cdot\ell og_53\cdot\ell og_56\cdot\ell og_65\\\underline{\rm passando~todas~os~logaritmos~para~base~\bf e~\sf temos:}\\\sf\dfrac{\diagup\!\!\!\!\!\ell n2}{\diagup\!\!\!\!\!\!\ell n3}\cdot\dfrac{\diagup\!\!\!\!\!\!\ell n5}{\diagup\!\!\!\!\!\!\ell n2}\cdot\dfrac{\diagup\!\!\!\!\!\!\ell n 3}{\diagup\!\!\!\!\!\!\ell n5}\cdot\dfrac{\ell n6}{\ell n5}\cdot\dfrac{\ell n5}{\ell n6}\end{array}}$

$\large\boxed{\begin{array}{l}\sf\dfrac{\diagup\!\!\!\!\ell n6\cdot\diagup\!\!\!\!\!\ell n5}{\diagup\!\!\!\!\!\ell n5\cdot\diagup\!\!\!\!\ell n6}=1\end{array}}\blue{\checkmark}$