2¹⁻ˣ=2 ·2⁻ˣ
2ˣ=t
t>0
2⁻ˣ=1/t
t+2/t=3
t²-3t+2=0
D=9-8=1
t₁=(3-1)/2=1; t₂=(3+1)/2=2
2ˣ=1 или 2ˣ=2
x=0 или х=1
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Verified answer
2¹⁻ˣ=2 ·2⁻ˣ
2ˣ=t
t>0
2⁻ˣ=1/t
t+2/t=3
t²-3t+2=0
D=9-8=1
t₁=(3-1)/2=1; t₂=(3+1)/2=2
2ˣ=1 или 2ˣ=2
x=0 или х=1