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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
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_
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
a) \(9< 3^x< 243\)
\(\Leftrightarrow3^2< 3^x< 3^5\)
\(\Rightarrow x\in\left\{3;4\right\}\)
b) Sửa đề: \(3^4.3^x\div9=27\)
\(\Leftrightarrow3^{x+4}=3\)
\(\Rightarrow x+4=1\)
\(\Rightarrow x=-3\)
c) \(3^x\div3^2=243\)
\(\Leftrightarrow3^{x-2}=3^5\)
\(\Rightarrow x-2=5\)
\(\Rightarrow x=7\)
d) \(25< 5^x< 3125\)
\(\Leftrightarrow5^2< 5^x< 5^5\)
\(\Rightarrow x\in\left\{3;4\right\}\)
e) \(2^x-64=2^6\)
\(\Leftrightarrow2^x=64+64=128\)
\(\Leftrightarrow2^x=2^7\)
\(\Rightarrow x=7\)
f) \(2^x\div16=128\)
\(\Leftrightarrow2^x=2^7.2^4\)
\(\Leftrightarrow2^x=2^{11}\)
\(\Rightarrow x=11\)
a)\(3^2.3^x=243\)
\(3^2.3^x=3^5\)
\(3^x=3^5:3^2\)
\(3^x=3^3\)
\(\Rightarrow x=3\)
b)\(2^x.16^2=1024\)
\(2^x.\left(2^4\right)^2=2^{10}\)
\(2^x.2^8=2^{10}\)
\(2^x=2^{10}:2^8\)
\(2^x=2^2\)
\(\Rightarrow x=2\)
Học tốt nha^^
3^2.3=243 vậy x=3
2^x.16^2=1024 vậy x=2
64.4^x=16^8 vậy x=13
2^x-26=6 vậy x=5
phần cuối đề sai
a) \(\left(x-6\right)^3=\left(x-6\right)^2\Leftrightarrow\orbr{\begin{cases}x-6=1\Leftrightarrow x=7\\x-6=0\Leftrightarrow x=6\end{cases}}\)
b) \(\left(7.x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=1000\)
\(\Leftrightarrow\left(7.x-11\right)^3=10^3\)
\(\Leftrightarrow7x-11=10\Leftrightarrow7x=21\Leftrightarrow x=3\)
c) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[4^2-3\right]\)
\(\Leftrightarrow3+2^{x-1}=24-13\)
\(\Leftrightarrow3+2^{x-1}=11\)
\(\Leftrightarrow2^{x-1}=8\Leftrightarrow2^{x-1}=2^3\Leftrightarrow x-1=3\Leftrightarrow x=4\)
a)\(3^x.3=243\Leftrightarrow3^x=81\Leftrightarrow3^x=3^4\Leftrightarrow x=4\)
b) \(2^x.16^2=1024\Leftrightarrow2^x.256=1024\Leftrightarrow2^x=4\Leftrightarrow2^x=2^2\Leftrightarrow x=2\)
c) \(64:4^x=16^8\Leftrightarrow4^x=67108864\Leftrightarrow4^x=4^{13}\Leftrightarrow x=13\)
d) \(2^x=16\Leftrightarrow2^x=2^4\Leftrightarrow x=4\)
a.
\(2^x.4=16\)
\(2^x=16:4\)
\(2^x=4\)
\(2^x=2^2\)
\(x=2\)
b.
\(3^x.3=243\)
\(3^x=243:3\)
\(3^x=81\)
\(3^x=3^4\)
\(x=4\)
c.
\(64.4^x=16^8\)
\(4^3.4^x=\left(4^2\right)^8\)
\(4^{x+3}=4^{2.8}\)
\(4^{x+3}=4^{16}\)
\(x+3=16\)
\(x=13\)
d.
\(2^x.16^x=1024\)
\(2^x.\left(2^4\right)^x=2^{10}\)
\(2^x.2^{4x}=2^{10}\)
\(2^{x+4x}=2^{10}\)
\(2^{5x}=2^{10}\)
\(5x=10\)
\(x=2\)