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3 la puterea x + 3 la puterea x+1= 36?


Răspuns :

[tex] 3^{x}+ 3^{x}*3 =36 \\ 3^{x}(1+3)=36 \\ 3^{x}=36:4 \\ 3^{x}=9 \\ x=2 [/tex]
[tex]3^{x}+3^{x+1}=36\\3^{x}*1+3^{x}*3^{1}=36\\3^{x}*(1+3^{1})=36\\3^{x}*(1+3)=36\\3^{x}*4=36\\ 3^{x}=\frac{36}{4}\\3^{x}=9\\3^{x}=3^{2}\\x=2[/tex]