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НоВыЙ13
@НоВыЙ13
July 2022
1
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Найти произведение корней уравнения:
[tex] 3^{x} * 8^{ \frac{x}{x+2} } =6[/tex]
Варианты ответов:
A)[tex]-2ln4[/tex] B)[tex]- \frac{2ln6}{ln3} [/tex] C)[tex]-2ln2[/tex] D)[tex]1[/tex]
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m11m
Verified answer
3ˣ * (2³)^(ˣ/ₓ₊₂) = 3*2
1) 3ˣ=3
x₁=1
2) 2^(³ˣ/ₓ₊₂)=2¹
³ˣ/ₓ₊₂=1
x≠ -2
3x=x+2
3x-x=2
2x=2
x₂=1
x₁*x₂=1*1=1
Ответ: D) 1.
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Answers & Comments
Verified answer
3ˣ * (2³)^(ˣ/ₓ₊₂) = 3*21) 3ˣ=3
x₁=1
2) 2^(³ˣ/ₓ₊₂)=2¹
³ˣ/ₓ₊₂=1
x≠ -2
3x=x+2
3x-x=2
2x=2
x₂=1
x₁*x₂=1*1=1
Ответ: D) 1.