7 7/9 - 4 1/12 + 2 3/4 = 6 4/9
1) 7 7/9 - 4 1/12 = 7 28/36 - 4 3/36 = 3 25/36
2) 3 25/36 + 2 3/4 = 3 25/36 + 2 27/36 = 5 + 52/36=
= 5+ 13/9 = 5 + 1 4/9 = 6 4/9
17 2/3 - 6 1/36 + 4 3/8 = 16 1/72
1) 17 2/3 - 6 1/36 = 17 24/36 - 6 1/36 = 11 23/36
2) 11 23/36 + 4 3/8 = 11 46/72 + 4 27/72 = 15 + 73/72=
=15 + 1 1/72 = 16 1/72
10 9/16 - (3 11/12 + 4 4/9 ) = 2 29/144
1) 3 11/12 + 4 4/9 = 3 33/36 + 4 16/36 = 7 + 49/36=
= 7 + 1 13/36 = 8 13/36
2)10 9/16 - 8 13 /36 = 10 81/144 - 8 52/144 = 2 29/144
(20 - 7 23/36) - (14 4/27 - 6 1/18) = 4 29/108
1) 20 - 7 23/36 = 12 13/36
2) 14 4/27 - 6 1/18 = 14 8/54 - 6 3/54 = 8 5/54
3) 12 13/36 - 8 5/54 = 12 39/108 - 8 10/108= 4 29/108
ответ:
пошаговое объяснение:
1)5^x-2=5^2
x-2=2
x=2+2
x=4
2) 5^3x-1=0.2
5^3x-1=5^-1
3x-1=-1
3x=0
x=0
3) 3^x-4=1
3^x-4=3^0
x-4=0
x=4
4) 6^2x-8=216^x
6^2x-8=6^3x
2x-8=3x
2-3x=8
-x=8
x=-8
5) 2^x+2+2^x=5
(2^2+1)*2^x=5
(4+1)*2^x=5
5*2^x=5
2^x=1
2^x=2^0
x=0
6) 5^2x-1 -5^2x-3=4.8
(5^2 -1)*5^2x-3=4.8
(25-1)*5^2x-3=4.8
24*5^2x-3=4.8
5^2x-3=0.2
5^2x-3=5^-1
2x-3=-1
2x=-1+3
2x=2
x=1
7) 9^x -6*3^x -27=0
(3^2)^x -6*3^3 -27=0
(3^x)^2 -6*3^x -27=0
пусть 3^x=t, тогда
t^2 -6t-27=0
t=-3
t=9
3^x=-3
3^x=9
x=2
8) 3^2x+1 -8*3^x -3=0
3^2x *3-8*3^x -3=0
(3x^x)^2 *3-8*3^x -3=0
пусть 3^x=t
t^2 *3-8t-3=0
t=-1/3
t=3
3^x=-1/3
3^x=3
x=1
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