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a)125 : x = 22 - (-1)
125 : x = 4 + 1
125 : x = 5
x = 125 : 5
x = 25
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b) 2x - 8 = -4
2x = (-4) + 8
2x = 4
x = 4 : 2
x = 2
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c) Xem lại đề.
\(125:x=2^2-\left(-1\right)\)
\(=>125:x=4+1\)
\(=>125:x=5\)
\(=>x=125:5\)
\(=>x=25\)
_____
\(2x-8=-4\)
\(=>2x=\left(-4\right)+8\)
\(=>2x=4\)
\(=>x=4:2\)
\(=>x=2\)
_______
\(6^{2x+5}=216\)
\(=>6^{2x+5}=6^3\)
\(=>2x+5=3\)
\(=>2x=3-5\)
\(=>2x=-2\)
\(=>x=\left(-2\right):2\)
\(=>x=-1\)
\(#NqHahh\)
a) (2x-14)=81
=>2x-1=81
=>2x=81+1
=>2x=82
=>x=82:2
=>x=41
Vậy x=41
b) 3x-1.8=216
3x:3=216:8
=>3x:3=27
=>3x=27.3
=>3x=81
=>3x=34
=>x=4
Vậy x=4
cho tớ hỏi đề câu a là:62x+5 hay là 62x+5
làn sau bn ghi rõ đề nhé,để mình suy ngĩ nữa
Ghi lại đề cho mình,mình nháp cho
ko đảm bảo ra đâu
( x-6)^2 = 9
(x-6)^2=3^2
=>x-6=3
x=3+6
x=9
(2x-7)^2= 169
(2x-7)^2=13^2
=>2x-7=13
2x=13+7
2x=20
x=10:2
x=10
x^3 = 216
x^3=6^3
=>x=6
(x-6)^2=9
x-6^2=9
x-36=9
x=9+36
x=45
(2x-7)^2=169
2x-7^2=169
2x-49=169
2x=169+49
2x=218
x=218:2
x=109
x^3=216
x^3=6^3
=>x=6
tick cho mk nha bạn
\(6^{2x}=216\)
\(\Leftrightarrow6^{2x}=6^3\)
\(\Leftrightarrow2x=3\)
\(\Leftrightarrow x=\frac{3}{2}\)
\(2x+\left(1+2+3+...+100\right)=15150\)
\(2x+\left[\left(1+100\right)+\left(2+99\right)+...+\left(50+51\right)\right]=15150\)
\(2x+\left[101+101+...+101\right]=15150\)CÓ 50 SỐ 101
\(2x+\left[101\times50\right]=15150\)
\(2x=15150:5050\)
\(2x=3\)
\(x=3:2\)
\(x=1.5\)
a, 2x + (1+2+3+4+...+100) = 15150
=> 2x + \(\frac{\left(1+100\right).\left[\left(100-1\right)+1\right]}{2}\)= 15150
=> 2x + \(\frac{101.100}{2}\)= 15150
=> 2x + 5050 = 15150
=> 2x = 15150 - 5050
=> 2x = 10100
=> x = 10100 : 2
=> x = 5050
Vậy x = 5050
b, .(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7)+(x+8)=36
=> (x + x + x + x +x + x +x +x ) + (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) = 36
=> 8x + 36 = 36
=> 8x = 0
=> x = 0
Vậy x = 0
c, 0+0+4+6+8+...+2x=110
Sửa đề :0 + 2 + 4 + 6 + 8 + ... + 2x = 110 = 2 + 4 + 6 + 8 + ... + 2x = 110
SSH : \(\frac{\left(2\text{x}-2\right)}{2}+1=x-1+1=x\)
Tổng : \(\frac{\left(2\text{x}+2\right).x}{2}=110\Leftrightarrow\frac{2.\left(x+1\right).x}{2}=110\)
\(\Leftrightarrow\left(x+1\right)x=110\)
\(\Leftrightarrow\left(10+1\right).10=110\)
=> x = 10
Vậy x = 10
a) \(4^n=4096\Rightarrow4^n=4^6\Rightarrow n=6\)
b) \(5^n=15625\Rightarrow5^n=5^6\Rightarrow n=6\)
c) \(6^{n+3}=216\Rightarrow6^{n+3}=6^3\Rightarrow n+3=3\Rightarrow n=0\)
d) \(x^2=x^3\Rightarrow x^3-x^2=0\Rightarrow x^2\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
e) \(3^{x-1}=27\Rightarrow3^{x-1}=3^3\Rightarrow x-1=3\Rightarrow x=4\)
f) \(3^{x+1}=9\Rightarrow3^{x+1}=3^2\Rightarrow x+1=2\Rightarrow x=1\)
g) \(6^{x+1}=36\Rightarrow6^{x+1}=6^2\Rightarrow x+1=2\Rightarrow x=1\)
h) \(3^{2x+1}=27\Rightarrow3^{2x+1}=3^3\Rightarrow2x+1=3\Rightarrow2x=2\Rightarrow x=1\)
i) \(x^{50}=x\Rightarrow x^{50}-x=0\Rightarrow x\left(x^{49}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}-1=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x^{49}=1=1^{49}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
4n = 4096
4n = 212
n = 12
5n = 15625
5n = 56
n = 6
6n+3 = 216
6n+3 = 23.33
6n+3 = 63
n + 3 = 3
có số số hạng là :
\(\left(2x-2\right):2+1=\frac{2x-2}{2}+1=\frac{2x}{2}\)
tổng của dãy trên là:
\(\left[\left(2x\right)+1\right].\frac{2x}{2}:2=\frac{3}{2}x^2\)
ta có ":
\(\frac{3}{2}x^2=216\)
\(x^2=216:\frac{3}{2}\)
\(x^2=144\)
\(x^2=12^2\) hoặc \(x^2=\left(-12\right)^2\)