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nastiaviershin
@nastiaviershin
August 2022
1
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Решите уравнение:
а)5^(3x-1)=1/5
б)2^(2x)-6*2^x +8=0
в)3^x=1/81
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Answers & Comments
iriska124
А)5^(3x-1)=1/5
а)5^(3x-1)=5^(-1)
3x-1=-1
3x=-1+1
3x=0
x=0
б)2^(2x)-6*2^x +8=0
б)2^x=a
a^2-6a+8=0
D=36-4*8=36-32=4=2 в кв
а1=6-2\2=4\2=2
а2=6+2\2=8\2=4
тогда
1)2^x=a
а=2
2^x=2
2^x=2^1
x=1
2)2^x=a
a=4
2^x=2^2
x=2
в)3^x=1/81
в)3^x=3^(-4)
x=-4
2 votes
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Answers & Comments
а)5^(3x-1)=5^(-1)
3x-1=-1
3x=-1+1
3x=0
x=0
б)2^(2x)-6*2^x +8=0
б)2^x=a
a^2-6a+8=0
D=36-4*8=36-32=4=2 в кв
а1=6-2\2=4\2=2
а2=6+2\2=8\2=4
тогда
1)2^x=a
а=2
2^x=2
2^x=2^1
x=1
2)2^x=a
a=4
2^x=2^2
x=2
в)3^x=1/81
в)3^x=3^(-4)
x=-4