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Tìm x thuoc z:
1) \(26-\left|x+9\right|=-13\)
\(\Leftrightarrow\left|x+9\right|=26-\left(-13\right)\)
\(\Leftrightarrow\left|x+9\right|=39\)
\(\Leftrightarrow\left[{}\begin{matrix}x+9=39\\x+9=-39\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=39-9=30\\x=-39-9=-48\end{matrix}\right.\)
Vậy: \(x\in\left\{30;-48\right\}\)
2) \(\left|x+7\right|-13=25\)
\(\Leftrightarrow\left|x+7\right|=25+13=38\)
\(\Leftrightarrow x+7\in\left\{38;-38\right\}\)
\(\Leftrightarrow x\in\left\{31;-45\right\}\)
Vậy:.................
tim x biet
\(1)123-3.\left(x+4\right)=23\)
\(\Leftrightarrow3\left(x+4\right)=123-23\)
\(\Leftrightarrow3\left(x+4\right)=100\)
\(\Leftrightarrow x+4=\frac{100}{3}\)
\(\Leftrightarrow x=\frac{100}{3}-4=\frac{100-12}{3}=\frac{88}{3}\)
Vậy:................
2) Tương tự
a, \(11^{25}\div11^{23}-3^5\div\left(1^{10}+2^3\right)-60\)
\(=11^{25}\div11^{23}-3^5\div\left(1+8\right)-60\)
\(=11^{25}\div11^{23}-3^5\div3^2-60\)
\(=11^2-3^3-60\)
\(=121-27-60\)
\(=94-60=34\)
b, \(2345-1000\div\left[19-2\left(21-18\right)^2\right]\)
\(=2345-1000\div\left[19-2.3^2\right]\)
\(=2345-1000\div\left[19-2.9\right]\)
\(=2345-1000\div1=2345-1000=1345\)
c, \(128-\left[68+8\left(37-35\right)^2\right]\div4\)
\(=128-\left[68+8.2^2\right]\div4\)
\(=128-\left[68+8.4\right]\div4\)
\(=128-\left[68+32\right]\div4\)
\(=128-100\div4=128-25=103\)
d, \(107-\left\{38+\left[7.3^2-24\div6+\left(9-7\right)^3\right]\right\}\div15\)
\(=107-\left\{38+\left[7.9-4+2^3\right]\right\}\div15\)
\(=107-\left\{38+\left[63-4+8\right]\right\}\div15\)
\(=107-\left\{38+\left[59+8\right]\right\}\div15\)
\(=107-\left\{38+67\right\}\div15\)
\(=107-105\div15\)
\(=107-7=100\)
e, \(50-\left[50-\left(2^3.5\right)\div2+3\right]\)
\(=50-\left[50-8.5\div2+3\right]\)
\(=50-\left[50-40\div2+3\right]\)
\(=50-\left[50-20+3\right]\)
\(=50-\left[30+3\right]\)
\(=50-33=17\)
Bài 2 :
a, \(5\left(x-9\right)=350-5^2\)
\(5\left(x-9\right)=350-25\)
\(5\left(x-9\right)=325\)
\(x-9=325\div5\)
\(x-9=65\)
\(\Rightarrow x=65+9\)
\(\Rightarrow x=74\)
Vậy x = 74
b, \(2\left(x-51\right)=2.2^3+20\)
\(2\left(x-51\right)=16+20\)
\(2\left(x-51\right)=36\)
\(x-51=36\div2\)
\(x-51=18\)
\(\Rightarrow x=18+51\)
\(\Rightarrow x=69\)
Vậy x = 69
c, \(2.3^x=162\)
\(\Rightarrow2.3^x=2.3^4\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
Vậy x = 4
\(5^{x+1}-5^{x-1}=600\)
\(\Leftrightarrow5^{x-1}\left(5^2-1\right)=600\)
\(\Leftrightarrow5^{x-1}=\frac{600}{24}=25\)
\(\Leftrightarrow5^{x-1}=5^2\Leftrightarrow x-1=2\)
\(\Leftrightarrow x=1\)
....
\(3^{x+1}-3^{x-2}=702\)
\(\Leftrightarrow3^{x-2}\left(3^3-1\right)=702\)
\(\Leftrightarrow3^{x-2}=\frac{702}{26}=27\)
\(\Leftrightarrow3^{x-2}=3^3\Leftrightarrow x-2=3\)
\(\Leftrightarrow x=5\)
...
\(2^x\cdot5^x=10000\)
\(10^x=10^4\)
\(\Rightarrow x=4\)
\(3^x=3^3\cdot3^5\)
\(3^x=3^8\)
\(\Rightarrow x=8\)
\(2^x\cdot3^x=4\cdot9\)
\(6^x=36\)
\(6^x=6^2\)
\(\Rightarrow x=2\)
3.5x=60.58+15.254
=>3.5x=12.5.58+3.5.(52)4
=>3.5x=12.59+3.59
=>3.5x=(12+3).519
=>3.5 x=15.59=3.5.59
=>3.5x=3.510
=> x=10
Tk mk
3.5x=60.58+15.254
=> 3.5x=60.58+15.(52)4
=>3.5x=60.58+15.58
=>3.5x=58.(60+15)
=>3.5x=58.75
=>3.5x=58 . 25.3(75=25..3)
=>3.5x=58.52.3
=>3.5x=510.3
=> x=10
Chúc bạn học tốt!
a)(x+83)-37=56
x+83=93
x=93-83
x=10
b)20+3x=516:513
20+3x=53
20+3x=125
3x=125-20
3x=105
x=105:3
x=35
c)128-3(x-5)=17
3(x-5)=111
x-5=37
x=37+5
x=42
d)3x-2=81
34=81
x=4+2
x=6
CHÚC BẠN HỌC GIỎI!!!!!!!!!!!!!!!!!!!
a/
(x+83)-37=56
x+83=56+37
x+83=93
x=93-83
x=10
b/
20+3.x=\(5^{16}\div5^{13}\)
20+3.x=\(5^3\)
20+3.x=125
3.x=125-20
3.x=105
x=105:3
x=35
c/
128-3.(x-5)=17
125.(x-5)=17
x-5=125.17
x-5=2125
x=2125-5
x=2120
d/
\(3^{x-2}\)\(=81\)
\(3^{x-2}=3\times3\times3\times3\)
\(\Rightarrow\)x-2=4
x=4-2
x=2
a, \(3^{2.x}=81\)
\(81=3^4\)
\(\Rightarrow3^{2.x}=3^4\)
\(\Rightarrow2.x=4\)
\(x=4:2=2\)
b, \(5^{2.x-3}-2=10\)
\(5^{2.x-3}=10+2\)
\(5^{2.x-3}=12\)
Không có căn bậc nào của 5 bằng 12
\(\Rightarrow x=\varnothing\)
c, \(\left(5^x-1\right).3-2=10\)
\(\left(5^x-1\right).3=10+2\)
\(\left(5^x-1\right).3=12\)
\(\left(5^x-1\right)=12:3\)
\(5^x-1=4\)
\(5^x=4+1\)
\(5^x=5=5^1\)
\(\Rightarrow x=1\)
Giải:
a, \(3^{2x}=81.\)
\(3^{2x}=3^4.\)
\(\Rightarrow2x=4.\)
\(x=4:2.\)
\(x=2.\)
Vậy \(x=2.\)
b, \(5^{2x-3}-2=10.\)
\(5^{2x-3}=10+2.\)
\(5^{2x+3}=12.\)
Vì 12 không phải là lũy thừa cơ số 5.
\(\Rightarrow x=\varnothing.\)
Vây \(x=\varnothing.\)
c, \(\left(5^x-1\right)3-2=10.\)
\(\left(5^x-1\right)3=10+2.\)
\(\left(5^x-1\right)3=12.\)
\(5^x-1=12:3.\)
\(5^x-1=4.\)
\(5^x=4+1.\)
\(5^x=5.\)
\(5^x=5^1.\)
\(\Rightarrow x=1.\)
Vậy \(x=1.\)
CHÚC BN HỌC GIỎI!!! ^ - ^
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