8 mũ x - mũ 2 = 64
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Bài 1:
2\(x\) = 4
2\(^x\) = 22
\(x=2\)
Vậy \(x=2\)
Bài 2:
2\(^x\) = 8
2\(^x\) = 23
\(x=3\)
Vậy \(x=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(4^8.2^{20}=2^{16}.2^{20}=2^{36}\)
\(9^{12}.27^5.81^4=3^{24}.3^{15}.3^{16}=3^{55}\)
mk chỉnh đề
\(64^3.4^5.16^2=4^9.4^5.4^4=4^{18}\)
\(25^{20}.125^4=5^{40}.5^{12}=5^{52}\)
\(x^7.x^4.x^3=x^{14}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(3^x-2=2^7\)
\(\Leftrightarrow3^x=128+2=130\)(vô lý)
b: \(4^{x+1}=64\)
=>x+1=3
hay x=2
c: \(\left(5x+1\right)^2=1^{2016}=1\)
=>5x+1=1 hoặc 5x+1=-1
=>x=0 hoặc x=-2/5
d: \(2^{2\left(x-1\right)}=8\)
=>2(x-1)=3
=>x-1=3/2
hay x=5/2
![](https://rs.olm.vn/images/avt/0.png?1311)
643 x 48 x 164
= (26)3 \(\times\) (22)8 \(\times\) (24)4
= 218 \(\times\) 216 \(\times\) 216
= 250
![](https://rs.olm.vn/images/avt/0.png?1311)
a: x-240:12=8
=>x-20=8
=>x=28
b: \(19+\dfrac{225}{6-x}=64\)
=>\(\dfrac{225}{6-x}=45\)
=>6-x=5
=>x=1
c: Đề thiếu rồi bạn
\(X-240:12=8\\ X-20=8\\ X=8+20=28\\ ---\\ 19+225:\left(6-X\right)=64\\ 225:\left(6-X\right)=64-19=45\\ 6-X=225:45=5\\ X=6-5=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) Ta có: \(2\left(x-y\right)+\left(x-y\right)^2+\left(y-x\right)^2\)
\(=2\left(-3-1000\right)+\left(-3-1000\right)^2+\left(3+1000\right)^2\)
\(=-2006+1006009+1006009\)
\(=2010012\)
2) \(x^3+12x^2+48x+64\)
\(=x^3+3.x^2.4+3.x.4^2+4^3\)
\(=\left(x+4\right)^3=\left(6+4\right)^3=10^3=1000\)
3) \(x^3-6x^2+12x-8\)
\(=x^3-3.x^2.2+3.x.2^2-2^3\)
\(=\left(x-2\right)^3=\left(22-2\right)^3=20^3=8000\)
\(2\left(x-y\right)+\left(x-y\right)^2+\left(y-x\right)^2\)
=\(2\left(x-y\right)+\left(x-y+y-x\right)\left(x-y-\left(y-x\right)\right)\)
= \(2\left(x-y\right)+\left(x-y+y-x\right)\left(x-y-y+x\right)\)
= \(2\left(x-y\right)\)
Thay x = -3,y = 1000 vào ta có : 2(x - y) = 2(-3 - 1000) = 2.(-1003) = -2006
\(x^3+12x^2+48x+64\)
\(=x^3+3\cdot x^2\cdot4+3\cdot x\cdot4^2+4^3=\left(x+4\right)^3\)
Thay x = 6 vào ta có : (6 + 4)3 = 103 = 10000
\(x^3-6x^2+12x-8=x^3-3x^2\cdot2+3x\cdot2^2-2^3\)
\(=\left(x-2\right)^3\)
Thay x = 22 vào ta có : (22 - 2)3 = 203 = 8000
8x-2=64
8x: 82=82
8x=82 . 82
8x=84
=>x=4
học tốt nhé
ấn nhầm lớp 4 hihi