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Lolamir
@Lolamir
March 2022
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Помогите решить показательное уравнение
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sangers1959
Verified answer
7ˣ⁻²=3²⁻ˣ
7ˣ⁻²=3⁻⁽ˣ⁻²⁾
7ˣ⁻²=1/3ˣ⁻²
7ˣ⁻²*3ˣ⁻²=1
(7*3)ˣ⁻²=1
21ˣ⁻²=21⁰
x-2=0
x=2.
3^((x+2)/4)=5^(x+2)
3^((1/4)*(x+2))=5^(x+2)
3^((1/4)*(x+2))/5^(x+2)=1
(3^(1/4)/5)^(x+2)=1
((3¹/⁴)/5)^(x+2)=((3¹/⁴)/5)⁰
x+2=0
x=-2.
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Answers & Comments
Verified answer
7ˣ⁻²=3²⁻ˣ7ˣ⁻²=3⁻⁽ˣ⁻²⁾
7ˣ⁻²=1/3ˣ⁻²
7ˣ⁻²*3ˣ⁻²=1
(7*3)ˣ⁻²=1
21ˣ⁻²=21⁰
x-2=0
x=2.
3^((x+2)/4)=5^(x+2)
3^((1/4)*(x+2))=5^(x+2)
3^((1/4)*(x+2))/5^(x+2)=1
(3^(1/4)/5)^(x+2)=1
((3¹/⁴)/5)^(x+2)=((3¹/⁴)/5)⁰
x+2=0
x=-2.