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Maximus567
@Maximus567
July 2022
1
4
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Помогите с домашней работой по Показательным уравнениям
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sedinalana
1
(7/5)^(1-x)=1
1-x=0
x=1
2
3^x=a
3a²-4a+1≤0
D=16-12=4
a1=(4-2)/6=1/3
a2=(4+2)/6=1
1/3≤a≤1⇒1/3≤3^x≤1⇒-1≤x≤0
x∈[-1;0]
3
5^(x-y)/2=5^2⇒x-y=4
^(6y-x-1)=1⇒6y-x-1=0⇒6y-x=1
прибавим
5y=5
y=1
x=4+1
x=5
(5;1)
4
(1/5)^(x-1)*(1-1/25)=4,8
0,96*(1/5)^(x-1)=4,8
(1/5)^(x-1)=5
x-1=-1
x=0
2 votes
Thanks 1
Maximus567
Спасибо,все отлично
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Answers & Comments
(7/5)^(1-x)=1
1-x=0
x=1
2
3^x=a
3a²-4a+1≤0
D=16-12=4
a1=(4-2)/6=1/3
a2=(4+2)/6=1
1/3≤a≤1⇒1/3≤3^x≤1⇒-1≤x≤0
x∈[-1;0]
3
5^(x-y)/2=5^2⇒x-y=4
^(6y-x-1)=1⇒6y-x-1=0⇒6y-x=1
прибавим
5y=5
y=1
x=4+1
x=5
(5;1)
4
(1/5)^(x-1)*(1-1/25)=4,8
0,96*(1/5)^(x-1)=4,8
(1/5)^(x-1)=5
x-1=-1
x=0