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AIiCa
@AIiCa
July 2022
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Помогите решить уравнение, сложное!!
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veretenni
A=3^2x
b=7^2x
4(7^4b)-3^6 a-2(7³b)+3³ a=0
a=3^2x
b=7^2x
4*7^4b-3^6 a-2*7³ b+3³ a=0
a=3^2x
b=7^2x
9604b-729a-686b+27a=0
a=3^2x
b=7^2x
8918b-702a=0
a=3^2x
b=7^ 2x
343b-27a=0
a=3^x2
b=7^2x
a=343b/27
3^2x=343*7^2x/27
3^2x27/345*7^2x=1
3^2x3³/7³7^2x=1
3^2x+3 7^-3-2x=1
(3*7^-1)^2x+3=1
(3/7)^2x+3=1
(3/7)=1
2x+3=0
x=-3/2
ответ:x=-3/2
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Answers & Comments
b=7^2x
4(7^4b)-3^6 a-2(7³b)+3³ a=0
a=3^2x
b=7^2x
4*7^4b-3^6 a-2*7³ b+3³ a=0
a=3^2x
b=7^2x
9604b-729a-686b+27a=0
a=3^2x
b=7^2x
8918b-702a=0
a=3^2x
b=7^ 2x
343b-27a=0
a=3^x2
b=7^2x
a=343b/27
3^2x=343*7^2x/27
3^2x27/345*7^2x=1
3^2x3³/7³7^2x=1
3^2x+3 7^-3-2x=1
(3*7^-1)^2x+3=1
(3/7)^2x+3=1
(3/7)=1
2x+3=0
x=-3/2
ответ:x=-3/2