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\(42-2\left(32-2^{x+1}\right)=10\)
\(\Leftrightarrow2\left(32-2^{x+1}\right)=42-10=32\)
\(\Leftrightarrow32-2^{x+1}=16\)
\(\Leftrightarrow2^{x+1}=32-16=16\)
\(\Leftrightarrow2^{x+1}=2^4\)
\(\Leftrightarrow x+1=4\)
\(\Rightarrow x=3\)
bài 1
a)
=> 3(x-2)=60-51
=> 3(x-2) =9
=> x-2 =9:3
=> x-2 =3
=> x =3+2
=> x =5
b)
=>4x-20=25-2
=>4x-20=23
=>4x-20=8
=>4x=8+20
=>4x=28
=>x=28:4
=>x=7
c)
=> 25+x.5-64=251
=> x.5-64 =251-25
=> x.5-64 =226
=> x.5 =226+64
=> x.5 =290
=> x =290:5
=> x =58
d)
=> [(14)2 - (12)2].2x=1872
=> 52.2x =1872
=> 104x =1872
=> x = 1872:104
=> x=18
e)
x10=x
=> x10-x=0
=>x(x9-1)=0
=>\(\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x^9=1\Rightarrow x=1\end{cases}}}\)
nha
mình sẽ làm típ
T I C K cho mình mình sẽ làm típ
\(a)88-3(7+x)=64\) \(c)[(x+32)-17]\div2=42\)
\(\Rightarrow3(7+x)=88-64\) \(\Rightarrow(x+32)-17=42.2\)\(\Rightarrow x+32-17=84\)
\(\Rightarrow3(7+x)=24\) \(\Rightarrow x=84+17-32\)
\(\Rightarrow7+x=24\div3\) \(\Rightarrow x=69\)
\(\Rightarrow7+x=8\)
\(\Rightarrow x=8-7\)
\(\Rightarrow x=1\)
\(b)131.x-941=2^7.2^3\) \(d)[(x^2+54)-32]\div2=61\)
\(\Rightarrow131.x-941=2^{10}\) \(\Rightarrow(x^2+54)-32=61.2\)
\(\Rightarrow131.x=1024+941\) \(\Rightarrow x+54-32=122\)
\(\Rightarrow131.x=1965\) \(\Rightarrow x=122+32-54\)
\(\Rightarrow x=1965\div131\) \(\Rightarrow x=100\)
\(\Rightarrow x=15\)
A) 88-3(7+x)=64
3(7+x)=88-64
3(7+x)=24
7+x=24:3
7+x=8
X=8-7
X=1
\(42-2\left(3x-2^{x+1}\right)=10\)
\(2\left(32-2^{x+1}\right)=32\)
\(32-2^{x+1}=16\)
\(2^{x+1}=16\)
\(2^{x+1}=2^4\)
\(\Rightarrow x+1=4\)
\(\Rightarrow x=3\)
Vậy x = 3
a) ( x+1)2 =25
Ta có :
52=25
=> ( x+1)2)=52
=> x+1=5
=> x=4
b) 32x=210
=> 32x=(22.5)
=> 32x=(25)2
=> 32x=322
=> x=2
c) 9x=81
Ta có :
92=81
=> 9x=92
=> x=2
d) 3. (2x +1)2=48
=> (2x +1)2=42:3
=> (2x +1)2=16
Mà :
42=16
=> (2x +1)2=42
=> 2x+1=4
=> 2x=3
=> x=1,5
e) (x-1)4 = (x-1)2
TH1: (x-1)4 = (x-1)2=0
=> x=1
TH2: (x-1)4 = (x-1)2=1
=> x=2
Xong :)
a) \(\left(x+1\right)^2=25\)
\(\left(x+1\right)^2=5^2=\left(-5\right)^2\)
- Nếu \(x+1=5\)
\(\Rightarrow x=5-1=4\)
- Nếu \(x+1=-5\)
\(x=\left(-5\right)-1=-6\)
\(42-2\left(32-2^{x+1}\right)=10\)
\(\Leftrightarrow2^{x+1}=16\)
\(\Leftrightarrow2^{x+1}=2^4\)
=> x = 4
\(42-2.\left(32-2^{x+1}\right)=10\)
\(2.\left(32-2^{x+1}\right)=42-10\)
\(2.\left(32-2^{x+1}\right)=32\)
\(32-2^{x+1}=32:2\)
\(32-2^{x+1}=16\)
\(2^{x+1}=32-16\)
\(2^{x+1}=16\)
\(2^{x+1}=2^4\)
\(x+1=4\)
\(x=4-1\)
\(x=3\)