Question

Rezolvati in R ecuatia
${3}^{x} - 1 = 3$

Answer 1

x²-1 = 1

x²=1+1

x²=2

x₁₎₂ = ⁺₋ √2

Answer 2

$\it 3^{x^2-1} =3 \Rightarrow 3^{x^2-1} =3 ^1 \Rightarrow x^2-1=1 \Rightarrow x^2=1+1\Rightarrow x^2=2\Rightarrow \\ \\ \Rightarrow\sqrt{x^2}=\sqrt2\Rightarrow |x|=\sqrt2\Rightarrow x=\pm\sqrt2$