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Determinati numarul natural x stiind ca:

Determinati Numarul Natural X Stiind Ca class=

Răspuns :

Răspuns:

[tex]\dysplaystyle\bf\\a)\:(\frac{2}{3})^{x} = \frac{16}{81} \\\\(\frac{2}{3})^{x} = (\frac{2}{3})^{4} \Rightarrow \boxed{\dysplaystyle\bf\\ x= 4}\\\\b)\:(\frac{1}{7})^{x} = \frac{2}{98} \\\\(\frac{1}{7})^{x} = \frac{1}{49}\\\\(\frac{1}{7})^{x} = (\frac{1}{7})^{2} \Rightarrow \boxed{\dysplaystyle\bf\\ x= 2}\\\\c)\:(\frac{3}{2})^{x} = \frac{225}{100} \\\\(\frac{3}{2})^{x} = \frac{9}{4}\\\\(\frac{1}{7})^{x} = (\frac{3}{2})^{2} \Rightarrow \boxed{\dysplaystyle\bf\\ x= 2}[/tex]