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aflati nr nat care verifica relatia: (3^x)^4*3^27=3^27

Răspuns :

[tex](3 ^{x} ) ^{4} * 3 ^{27} = 3 ^{27} \\ 3^{4x}* 3 ^{27} = 3 ^{27} \\ 4x*27=27 \\ 4x = \frac{27}{27} \\ 4x = 1 \\ x= \frac{1}{4} [/tex]
 ([tex] 3^{x} [/tex])⁴*3²⁷=3²⁷[tex] 3^{4x} [/tex]*3²⁷=3²⁷
[tex] 3^{4x+27} [/tex]=3²⁷
4x+27=27
4x=27-27
4x=0
x=0