Cât e log2(x+2)-log2(x+1)=1

Răspunsul a fost dat de: USER4995
1 September 2025 matematica 5 minute
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Cât e log2(x+2)-log2(x+1)=1
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[tex]\log _2\left(x+2\right)-\log _2\left(x+1\right)=1 \\ \log _2\left(x+2\right)-\log _2\left(x+1\right)+\log _2\left(x+1\right)=1+\log _2\left(x+1\right) \\ \log _2\left(x+2\right)=1+\log _2\left(x+1\right) \\ \log _2\left(x+2\right)=\log _2\left(2\right)+\log _2\left(x+1\right) \\ \log _2\left(x+2\right)=\log _2\left(2\left(x+1\right)\right) \\ x+2=2\left(x+1\right) \\ x+2=2x+2 \\ x=2x=\ \textgreater \ x=0[/tex]
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