x^2006=x^2 3^x.3=243 2^x.16^2=1024 64.4^x=16^8
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a,3x.3=243
3x+1=35
x+1=5
x=5-1
x=4
Vậy x=4
b,x20=x
Vô lí vì 1 ko bằng 20
Vậy x E 0
c,2x.162=1024
2x.28=210
2x+8=210
x+8=10
x=10-8
x=2
Vậy x=2
d,64.4x=168
43.4x=416
43+x=416
3+x=16
x=16-3
x=13
Vậy x=13
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2^x . 16^2 = 1024 b) 64 . 4^x = 16^8 c) 2^x = 16
=> 2^x . 256 = 1024 => 64 . 4^x = (4^2) ^ 8 => 2^x = 2^4
=> 2^x = 1024 : 256 => 4^3 . 4^x = 4^16 => x = 4
=> 2^x = 4 => 4^x = 4^16 : 4^3
=> 2^x = 2^2 => 4^x = 4^13
=> x = 13
=> x = 2
a) \(2^x.16^2=1024\Rightarrow2^x=1024:16^2=2^{10}:\left(2^4\right)^2=2^{10}:2^8=2^2\)\(\Rightarrow x=2\)
b) \(64.4^x=16^8\Rightarrow4^x=16^8:64=\left(4^2\right)^8:4^3=4^{16}:4^3=4^{13}\Rightarrow x=13\)
c)\(2^x=16\Rightarrow2^x=2^4\Rightarrow x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2x.162 = 1024
=> 2x.(24)2 = 210
=> 2x + 4.2 = 10
=> x + 8 = 10
=> x = 2
vậy_
64.4x = 168
=> 43.4x = (42)8
=> 43 + x = 416
=> 3 + x = 16
=> x = 13
vậy_
2x = 16
=> 2x = 24
=> x = 4
vậy_
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 3x * 3 = 243
=> 3x = 81
=> x = 27
b) x20 = x
=> x = 0 ; 1
c) 2x * 162 = 1024
=> 2x * 256 = 1024
=> 2x = 4
=> x = 2
d) 64 * 4x = 168
=> 64 * 4x = 4294967296
=> 4x = 67108864
=> x = 13
g) 2x - 15 = 17
=> 2x = 32
=> x = 5
i) 3x + 25 = 26 * 22 + 2 * 30
=> 3x + 25 = 26 * 4 + 2 * 1
=> 3x + 25 = 104 + 2
=> 3x + 25 = 106
=> 3x = 81
=> x = 4
l)49 * 7x = 2041
=> 7x ~ 41,653
=> x ~ 1,9165
m) 64 * 4x = 45
=> 64 * 4x = 1024
=> 4x = 16
=> 2
n) 3x = 243
=> x = 5
p) 34 * 3n = 37
=> 3n = 33
=> n = 3
![](https://rs.olm.vn/images/avt/0.png?1311)
64 . 4x = 168
<=> 43. 4x = 416
=> 3 + x = 16
<=> x = 13
Vậy x = 13
2x.162 = 1024
<=> 2x. 28 = 210
=> x + 8 = 10
<=> x = 2
Vậy x = 2
b: Ta có: \(2^x\cdot16^2=1024\)
\(\Leftrightarrow2^x\cdot2^8=2^{10}\)
\(\Leftrightarrow x+8=10\)
hay x=2
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 3x.3 = 243
3x + 1 = 35
x + 1 = 5
x = 4
b) x2 = x
x2 - x = 0
x(x - 1) = 0
x = 0 hoặc x - 1 = 0
x = 1
d) 64.4x = 16
4x = 16 : 64
4x = 1/4
4x = 4-1
x = -1
![](https://rs.olm.vn/images/avt/0.png?1311)
1. \(2^x-26=6\)
\(\Rightarrow2^x=6+26\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
2. \(64\cdot4^x=16^8\)
\(\Rightarrow4^3\cdot4^x=4^{16}\)
\(\Rightarrow4^x=4^{16}:4^3\)
\(\Rightarrow4^x=4^{13}\)
\(\Rightarrow x=13\)
3. \(\left(2x-1\right)^4=16\)
\(\Rightarrow\left(2x-1\right)^4=2^4\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\)
4. \(\left(2x+1\right)^3=125\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a,
13[x-9] = 169
=> x - 9 = 169/13
=> x - 9 = 13
=> x = 13+9
=> x = 22
b,
Viết lại đề:
7x+3 = 343
<=> 7x+3 = 73
=> x + 3 = 3
=> x = 3-3
=> x = 0
c,
230 + [16 + [x-5]] = 315 . 23
=> 230 + [16 + x - 5] = 315 . 8
=> 230 + 16 + x - 5 = 2520
=> 230 + 16 + x = 2520 + 5 = 2525
=> x = 2525 - 230 - 16 = 2279
d,
13.x - 32.x = 20171 - 12018
=> 13x - 9x = 2017 - 1
=> 4x = 2016
=> x = 504
a) 13 ( x-9 )=169
=> x-9 =169 : 13 =13
=> x=13+9 =22
b)\(7^{x+3}=343\)
\(7^x.7^3=343\)
\(7^x=343:7^3\)
\(7^x=1\Rightarrow x=1\)
c)230 + 16 +x -5 =315.8
241 +x =2520
x=2520-241=2279
d) 13x -\(3^2.x\)=2017-1
x(13-9)=2016
x.4=2016
x=2016:4
x=504
a/x^2006=x^2
=> x={0;1} nhưng vì 2006 và 2 là số chẵn nên x^2006 và x^2 sẽ cùng dương nên x={-1;0;1}
b/ 3^x.3=243
3^(x+1)=3^5
=> x+1=5
x=5-1=4
các câu còn lại từ từ thở cái đã
2^x.16^2=1024
2^x=1024:16^2
2^x=4
2^x=2^2
=> x=2