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Sa se rezolve ecuatia 3^∛(x-2) = 81

Răspuns :

3⁴=81 ⇒ ∛(x-2)=4
x-2=4³
x-2=64
x=64+2
x=66

[tex]\it 3^{\sqrt[3]{x-2}} =81 \Rightarrow 3^{\sqrt[3]{x-2}} = 3^4 \Rightarrow \sqrt[3]{x-2} = 4 \Rightarrow (\sqrt[3]{x-2})^3 = 4^3 \Rightarrow \\ \\ \Rightarrow x-2=64 \Rightarrow x=66[/tex]