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![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^x\cdot16^2=1024\)
\(\Leftrightarrow2^x=4\)
hay x=2
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^x.16^2=1024\)
\(2^x=1024:16^2\)
\(2^x=1024:256\)
\(2^x=4\)
\(2^x=2^2\)
\(\Rightarrow x=2\)
vay \(x=2\)
2x . 162 = 1024
\(\Rightarrow\)2x . 256 = 1024
\(\Rightarrow\)2x = 1024 : 256 = 4
\(\Rightarrow\)2x = 22
\(\Rightarrow\)x = 2
![](https://rs.olm.vn/images/avt/0.png?1311)
2xx15 = 1024
2x = 1024 : 15
2x = ???
Hình như đề sai rồi bn
![](https://rs.olm.vn/images/avt/0.png?1311)
+) \(x^2=121\)
\(\Rightarrow\orbr{\begin{cases}x^2=11^2\\x^2=\left(-11\right)^2\end{cases}}\Rightarrow\orbr{\begin{cases}x=11\\x=-11\end{cases}}\)
Vậy x = 11 hoặc x = -11
+) \(2^{x+3}=1024\)
\(\Rightarrow2^{x+3}=2^{10}\)
\(\Rightarrow x+3=10\)
\(\Rightarrow x=10-3\)
\(\Rightarrow x=7\)
Vậy x = 7
+) \(5^{x+1}=625\)
\(\Rightarrow5^{x+1}=5^4\)
\(\Rightarrow x+1=4\)
\(\Rightarrow x=4-1\)
\(\Rightarrow x=3\)
Vậy x = 3
_Chúc bạn học tốt_
![](https://rs.olm.vn/images/avt/0.png?1311)
`3^{x} + 4^{2} = 19^{6} : 19^{3} . 19^{2} - 3 . 1^{2015}`
`<=>3^{x} + 4^{2} = 19^{6} : 19^{5} - 3 . 1`
`<=>3^{x} + 16 = 19 - 3`
`<=>3^{x} + 16 = 16`
`<=>3^{x} = 16 - 16`
`<=>3^{x} = 0`
`=>x \in \emptyset`
![](https://rs.olm.vn/images/avt/0.png?1311)
3:
a: 3^x*3=243
=>3^x=81
=>x=4
b; 2^x*16^2=1024
=>2^x=4
=>x=2
c: 64*4^x=16^8
=>4^x=4^16/4^3=4^13
=>x=13
d: 2^x=16
=>2^x=2^4
=>x=4
![](https://rs.olm.vn/images/avt/0.png?1311)
![](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)
Có: \(\dfrac{2^x}{2^{2012}}=1024\)
\(\Rightarrow\dfrac{2^x}{2^{2012}}=2^{10}\Rightarrow2^x=2^{10}\cdot2^{2012}=2^{2022}\)
\(\Rightarrow x=2022\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1024 : ( 17 x 25 + 15 x 25 )
= 1024 : [( 17 + 15 ) x 25 ]
= 1024 : ( 32 x 25 )
= 210 : 210
= 1
1024 chia với 162
chắc đạy