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aykam98
@aykam98
November 2021
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РЕШИТЬ ПОЖ СРОЧНО НУЖНО!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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sedinalana
Verified answer
1
16*4^x-10*4^x=16
6*4^x=16
4^x=8/3
x=log(4)(8/3)=3/2-log(4)3
2
7^x=a
(a-1)/3=(7a+49)/7a
7a(a-1)=3(7a+49)
7a²-7a-21a-147=0
7a²-28a-147=0
a²-4a-21=0
a1+a2=4 U a1*a2=-21
a1=-3⇒7^x=-3 нет решения
a2=7⇒7^x=7⇒x=1
3
3^x=a
a²-12a+27=0
a1+a2=12 U a1*a2=27
a1=3⇒3^x=3⇒x=1
a2=9⇒36x=9⇒x=2
4
Разделим на 81^x
3(4/9)^2x-5*(4/9)^x)+2=0
(4/9)^x=a
3a²-5a+2=0
D=25-24=1
a1=(5-1)/6=2/3⇒(4/9)^x=2/3⇒x=1/2
a2=(5+1)/6=1⇒(4/9)^x=1⇒x=0
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Answers & Comments
Verified answer
116*4^x-10*4^x=16
6*4^x=16
4^x=8/3
x=log(4)(8/3)=3/2-log(4)3
2
7^x=a
(a-1)/3=(7a+49)/7a
7a(a-1)=3(7a+49)
7a²-7a-21a-147=0
7a²-28a-147=0
a²-4a-21=0
a1+a2=4 U a1*a2=-21
a1=-3⇒7^x=-3 нет решения
a2=7⇒7^x=7⇒x=1
3
3^x=a
a²-12a+27=0
a1+a2=12 U a1*a2=27
a1=3⇒3^x=3⇒x=1
a2=9⇒36x=9⇒x=2
4
Разделим на 81^x
3(4/9)^2x-5*(4/9)^x)+2=0
(4/9)^x=a
3a²-5a+2=0
D=25-24=1
a1=(5-1)/6=2/3⇒(4/9)^x=2/3⇒x=1/2
a2=(5+1)/6=1⇒(4/9)^x=1⇒x=0