Question

Va rooooog repede
Dau coroana

Answer 1

Salut,

$\left[\left(\dfrac{3}5\right)^6\right]^{10}=\left[\left(\dfrac{9}{25}\right)^5\right]^{n}\Leftrightarrow\left(\dfrac{3}5\right)^{6\times 10}=\left(\dfrac{9}{25}\right)^{5n}\Leftrightarrow\\\\\\\Leftrightarrow\left(\dfrac{3}5\right)^{60}=\left[\left(\dfrac{3}5\right)^2\right]^{5n}\Leftrightarrow \left(\dfrac{3}5\right)^{60}=\left(\dfrac{3}5\right)^{10n}\Rightarrow 60=10n,\ deci\ n=6.$

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