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кирилл1346
@кирилл1346
July 2021
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помогите даю 15 баллов решить уравнения с решением
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sangers1959
Verified answer
1)
√(2⁻¹)*2^(x²-7,5)=1/128
2^(-1/2)*2(x²-7,5)=2^(-7)
2^(x²-7,5-0,5)=2^(-7)
2^(x²-8)=2^(-7)
x²-8=-7
x²=1
x=₁1 x₂=-1
2)
5^x*2^x=0,1^(-3)
10^x=(1/10)^(-3)
10^x=10^3
x=3.
3)
(∛3)^(2x)*(∛9)^(2x)=243
(∛3*∛9)^(2x)=3^5
∛27^(2x)=3^5
3^(2x)=3^5
2x=5
x=2,5.
0 votes
Thanks 1
Удачник66
Verified answer
1)
x^2 = 1; x1 = -1; x2 = 1
2)
x = 3
3)
2x/3 + 4x/3 = 2x = 5
x = 2,5
1 votes
Thanks 0
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Answers & Comments
Verified answer
1)√(2⁻¹)*2^(x²-7,5)=1/128
2^(-1/2)*2(x²-7,5)=2^(-7)
2^(x²-7,5-0,5)=2^(-7)
2^(x²-8)=2^(-7)
x²-8=-7
x²=1
x=₁1 x₂=-1
2)
5^x*2^x=0,1^(-3)
10^x=(1/10)^(-3)
10^x=10^3
x=3.
3)
(∛3)^(2x)*(∛9)^(2x)=243
(∛3*∛9)^(2x)=3^5
∛27^(2x)=3^5
3^(2x)=3^5
2x=5
x=2,5.
Verified answer
1)x^2 = 1; x1 = -1; x2 = 1
2)
x = 3
3)
2x/3 + 4x/3 = 2x = 5
x = 2,5