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3^18x = 243^11 ----->Ajutor !

Răspuns :

[tex] 3^{18}x=243 ^{11} \Leftrightarrow 3^{18}x= (3^5)^{11} \Leftrightarrow 3^{18}x=3^{55 }\Rightarrow x= \frac{3^{55}}{3^{18}}=3^{37} . \\ \\ \underline{Solutie}:\boxed{x= 3^{37} }.[/tex]