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Chikellat
@Chikellat
August 2022
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3×9(`x)+3('x)-4=0. решите пожалуйста
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kirichekov
Verified answer
3*9^x+3^x-4=0
3*(3^x)²+3^x-4=0
замена переменных: 3^x=t, t>0
3t²+t-4=0
t₁=-8/6, -8/6<0
t₂=1
обратная замена:
t=1, 3^x=1. 3^x=3¹
x=1
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Answers & Comments
Verified answer
3*9^x+3^x-4=03*(3^x)²+3^x-4=0
замена переменных: 3^x=t, t>0
3t²+t-4=0
t₁=-8/6, -8/6<0
t₂=1
обратная замена:
t=1, 3^x=1. 3^x=3¹
x=1