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Aflati x: (3x)^5=9^5×3^2×3^3
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Răspuns :

[tex](3x)^5=9^5\times 3^2\times 3^3\Leftrightarrow (3x^5)=3^{10}\times 3^2\times 3^3\Leftrightarrow (3x)^5=3^{15}\\ \\ 3x=3^3\Leftrightarrow x=3^2\Rightarrow x=9\\ \\ S=\{9\}[/tex]
(3x)^5=9^5×3^2×3^3
(3x)^5 = (3^2)^5 x 3^2 x 3^3 
(3x)^5 = 3^10 x 3^2 x 3^3 
(3x)^5 = 3^ (10+2+3) 
(3x)^5 = 3^15 = (3^3)^5
3x = 3^3 = 27 
x = 27 : 3 
x = 9