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semenpsycho
@semenpsycho
July 2022
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Помогите пожалуйста с тем, с чем сможете
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ann1885
1.
2^-x=2^-3
-x=-3
x=3
5^(x+2)=5^3
x+2=3
x=1
3^(x-1)=3^0
x-1=0
x=1
3^(x²-x-5)=3^1
x²-x-5=1
x²-x-6=0
D=25
x1=3
x2=-2
2.
25*5^x+3*5^x=140
28*5^x=140
5^x=5
x=1
16*2^x-8*2^x+2*2^x-2^x=36
9*2^x=36
2^x=4
x=2
(5^x)²-6*5^x+5=0
5^x=a
a²-6a+5=0
D=36-20=16
a=1
a=5
5^x=1 5^x=5
x=0 x=1
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Answers & Comments
2^-x=2^-3
-x=-3
x=3
5^(x+2)=5^3
x+2=3
x=1
3^(x-1)=3^0
x-1=0
x=1
3^(x²-x-5)=3^1
x²-x-5=1
x²-x-6=0
D=25
x1=3
x2=-2
2.
25*5^x+3*5^x=140
28*5^x=140
5^x=5
x=1
16*2^x-8*2^x+2*2^x-2^x=36
9*2^x=36
2^x=4
x=2
(5^x)²-6*5^x+5=0
5^x=a
a²-6a+5=0
D=36-20=16
a=1
a=5
5^x=1 5^x=5
x=0 x=1