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\(5^x+5^{x+2}=650;5^x.26=650;5^x=25;x=2\)
\(2^x+2^{x+3}=144;2^x.9=144;2^x=16;x=4\)
\(3^{x-1}+5.3^{x-1}=162;3^{x-1}.6=162;3^{x-1}=27;x=4\)
\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\rightarrow x-5=0\&x-5=1\) hoặc x - 5 = - 1
\(x-5=1;x=6;x-5=0;x=5;x-5=-1;x=4\)
\(\left(2^2:4\right).2^n=4;2^n=2^2;n=2\)
Bài 1 :
\(2^x.8=512\)
\(2^x=512:8\)
\(2^x=64\)
\(2^x=2^6\)
\(\Rightarrow x=6\)
\(b,\left(2x+1\right)^3=125\)
\(\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
\(c,x^{20}=x\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(d,\left(x-3\right)^{10}=0\)
\(\Rightarrow x-3=0\)
\(\Rightarrow x=3\)
b,\(7^5\)\(.(3x-2^3\)\()=7^6\)
\(3x-2^3\)\(=7^6:7^5=7^1=7\)
\(3x=7+8\)
\(3x=15\)
\(x=15:3\)
\(x=5\)
c,\(96-3(x-5)=57\)
\(3(x-5)=96-57\)
\(3(x-5)=39\)
\(x-5=39:3\)
\(x-5=13\)
\(x=13+5\)
\(x=18\)
d,\([(6x-72):2-84].28=5628\)
\((6x-72):2-84=5628:28\)
\((6x-72):2-84=201\)
\((6x-72):2=201+84\)
\((6x-72):2=285\)
\((6x-72)=285.2\)
\(6x-72=570\)
\(6x=570+72\)
\(6x=642\)
\(x=642:6\)
\(x=107\)
b)
75 . ( 3x - 23 ) = 74 . 72
75 . ( 3x - 8 ) = 76
3x - 8 = 7
3x = 15
x = 5.
Vậy x = 5.
c)
96 - 3( x - 5 ) = 57
3( x - 5 ) = 39
x - 5 = 13
x = 18.
Vậy x = 18.
d)
[ ( 6x - 72 ) : 2 - 84 ] . 28 = 5628
( 6x - 72 ) : 2 - 84 = 201
( 6x - 72 ) : 2 = 285
6x - 72 = 570
6x = 642
x = 107.
Vậy x = 107.
Bài 1:
a) 23=2.2.2=823=2.2.2=8;
24=23.2=8.2=1624=23.2=8.2=16;
25=24.2=16.2=3225=24.2=16.2=32;
26=25.2=32.2=6426=25.2=32.2=64;
27=26.2=64.2=12827=26.2=64.2=128;
28=27.2=128.2=25628=27.2=128.2=256;
29=28.2=256.2=51229=28.2=256.2=512;
210=29.2=512.2=1024210=29.2=512.2=1024
b) 32=3.3=932=3.3=9;
33=32.3=9.3=2733=32.3=9.3=27;
34=33.3=27.3=8134=33.3=27.3=81;
35=34.3=81.3=24335=34.3=81.3=243.
c) 42=4.4=1642=4.4=16;
43=42.4=16.4=6443=42.4=16.4=64;
44=43.4=64.4=25644=43.4=64.4=256.
d) 52=5.5=2552=5.5=25;
53=52.5=25.5=12553=52.5=25.5=125;
54=53.5=125.5=62554=53.5=125.5=625.
e) 62=6.6=3662=6.6=36;
63=62.6=36.6=21663=62.6=36.6=216;
64=63.6=216.6=129664=63.6=216.6=1296.
1/
a. \(x^3-2=25\)
\(x^3=25+2\)
\(x^3=27\)
\(\Rightarrow x=3\)
b.\(\left(x-3\right)^2=25\)
\(\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=8\)
1,a, x^3-2=25 b, (x-3)^2=25 c, x^3-x^2=55 d,[(8.x-12):4].3^7=3^10
x^3=27 (x-3)^2=5^2 không có giá trị x (8.x-12):4=3^3
x^3=3^3 x-3=5 8.x-12=108
x=3 x=8 8.x=120
x=15
2, a, \(7^6:7^4+3^4.3^2-3^7:3\) b, 1736-(21-16).32+6.7^2 c,56.17+17.44-4^3.5+6.(3^2-2)
=\(7^2+3^6-3^6\) =1736-5.32+6.49 =17.(56+44)-320+42
=\(49\) =1736-160+294 =17.10-278
=1736+134 =170-278
=1870 =-108
d, 3.10^2-[1200-(4^2-2.3)^3]
=300-[1200-(16-6)^3]
=300-(1200-10^3)
=300-(1200-1000)
=300-200
=100
B1. 2x + 3 + 22 = 72
=> 2x + 3 + 4 = 72
=> 2x + 3 = 72 - 4
=> 2x + 3 = 68
=> ko có gtri x
B2 : Ta có : A = 1 + 2 + 22 + 23 + 24 + 25 + 26 + ... + 22001 + 22002
= (1 + 2) + (22 + 23 + 24) + (25 + 26 + 27) + ... + (22000 + 22001 + 22002)
= 3 + 22.(1 + 2 + 22) + 25.(1 + 2 + 22 ) + ... + 22000 . (1 + 2 + 22)
= 3 + 22.7 + 25.7 + ... + 22000 . 7
= 3 + (22 + 25 + .... + 22000) . 7
=> Số dư của 7 là 3
AI MÀ GIẢI!
CHỈ CÁI ĐỀ THÔI MÀ CŨNG ĐỦ RỐI RỒI!!!!!!!!!!!!!!!!!!
1/(6x-32).35=5.37
(6x-9) = 5. 2187
(6x-9) = 10935
6x = 10935 + 9 =10944
x = 10944 : 6 =1824
2/8x-5.23=(5.2)3-53.23
/8x-5.8=1000-125.8
8x -40 = 0
8x = 40
x = 40 : 8 =5
1, ( 6x-3^2).3^5=5.3^7
6x-3^2=5.3^7:3^5
6x-3^2=5.(3^7:3^5)
6x-9=5.3^2
6x-9=5.9
6x-9=45
6x=45+9
6x=54
x=54:6
x=9
Vậy x=9