5^(7-2х)=5^2
7-2х=2
7-2=2х
5=2х
Х=5:2
Х=2,5
0,25*6^(х+1) =3^(х+1)
0,25=3^(х+1)/6^(х+1)
0,25=(3/6)^(х+1)
0,25=(1/2)^(х+1)
0,5^2=(0,5)^(х+1)
2=х+1
Х=2-1
Х=1
16*8^х=(1/2)^1/2х^2
16*2^3х=2^(-1/2х^2)
2^4*2^3х=2^(-1/2х^2
2^(4+3х)=2^(-1/2х^2)
4+3х=-1/2х^2
1/2х^2+3х+4=0 умножаем на 2
Х^2+6х+8=0
D=36-32=4
Корень4=2
Х1=(-6+2)/2=-4/2=-2
Х2=(-6-2)/2=-8/2=-4
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Answers & Comments
5^(7-2х)=5^2
7-2х=2
7-2=2х
5=2х
Х=5:2
Х=2,5
0,25*6^(х+1) =3^(х+1)
0,25=3^(х+1)/6^(х+1)
0,25=(3/6)^(х+1)
0,25=(1/2)^(х+1)
0,5^2=(0,5)^(х+1)
2=х+1
Х=2-1
Х=1
16*8^х=(1/2)^1/2х^2
16*2^3х=2^(-1/2х^2)
2^4*2^3х=2^(-1/2х^2
2^(4+3х)=2^(-1/2х^2)
4+3х=-1/2х^2
1/2х^2+3х+4=0 умножаем на 2
Х^2+6х+8=0
D=36-32=4
Корень4=2
Х1=(-6+2)/2=-4/2=-2
Х2=(-6-2)/2=-8/2=-4