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lalinasirotkin
@lalinasirotkin
August 2022
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5*2^(3x-3) -3*2^(5-3x)=-7 показателтные уравнения
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mikael2
5*2^(3x-3) -3*2^(5-3x)=-7
5/8*2
³ˣ-3*32*1/2³ˣ=-7
2³ˣ=z z>0
z*5/8-96/z+7=0 5z²/8+7z-96=0
5z²+56z-768=0
D=56²+4*5*768=3136+15360=18496 √D=136
z1=1/10[-56+136]=8 2³ˣ=2³ 3x=3
x=1
z2=1/10[-56-136]<0 не подходит.
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Answers & Comments
5/8*2³ˣ-3*32*1/2³ˣ=-7
2³ˣ=z z>0
z*5/8-96/z+7=0 5z²/8+7z-96=0
5z²+56z-768=0
D=56²+4*5*768=3136+15360=18496 √D=136
z1=1/10[-56+136]=8 2³ˣ=2³ 3x=3 x=1
z2=1/10[-56-136]<0 не подходит.