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Calculati:
[tex] 3^{x+2}* 7^{x}- 3^{x} * 7^{x+1} = 2940[/tex]


Răspuns :

[tex]Putem\ scrie\ ecuatia\ astfel:\ \\\\3^x\cdot3^2\cdot7^x-3^x\cdot7^x\cdot7^1=2940\\\\ Avem\ acelasi\ exponent\ (x)\, deci\ putem\ inmulti\ bazele:\ \\\\21^x\cdot9-21^x\cdot7=2940\\\\21^x\cdot(9-7)=2940\\\\21^x\cdot2=2940\\\\21^x=1470[/tex]