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rezolvati in multimea nr reale ecuatia log baza 5(2x-1)=2

Răspuns :

5 (2X-1)=2
10X-5=2
10X=2+5
10X=7
X=10/7
[tex]\log_{5}{2x-1}=2\Rightarrow 2x-1=5^{2}=25\Rightarrow x=\frac{25+1}{2}=13[/tex]