a, ( 2x-1)^5=243
b, (3x+2)^3=125
Bài toán 7 : Tìm x N, biết.
a) 3x . 3 = 243 | b) 2x . 162 = 1024 | c) 64.4x = 168 | d) 2x = 16 |
a) \(3^x\cdot3=243\)
\(\Rightarrow3^{x+1}=243\)
\(\Rightarrow3^{x+1}=3^5\)
\(\Rightarrow x+1=5\)
\(\Rightarrow x=4\)
b) \(2^x\cdot162=1024\)
Xem lại đề
c) \(64\cdot4^x=168\)
Xem lại đề
d) \(2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
a: =>3^x=81
=>x=4
b: =>2^x=1024/16^2=4
=>x=2
c: =>4^x=16^8/64=4^16/4^3=4^13
=>x=13
B1. Tính giá trị: A=(x+2)^2 - (x-2)^2 với x=125
B2. Thu gọn:
a, 2x.(2x-1)^2 - 3x.(x+3).(x-3) - 4x.(x+1)^2
b. (3x+1)^2 - 2.(3x+1).(3x+5) + (3x+5)^2
B3: Tìm x biết (x+2)^2 - x^2 +4=0
b1
A=(125+2)2 - (125-2)2 = 1272 - 1232 = 1000
1 a)
|2x+1|-3=4x
b) |-3x+4|-5=2x+1
2
a) 5x=125
b) 32x=81
c) 52x-3-2 . 5 =52 .3
1)
a) \(|2x+1|-3=4x\)
\(\Leftrightarrow|2x+1|=4x+3\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=4x+3\\2x+1=-4x-3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x-4x=3-1\\2x+4x=-3-1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-2x=2\\6x=-4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-1\\x=\frac{-2}{3}\end{cases}}\)
b) \(|-3x+4|-5=2x+1\)
\(\Leftrightarrow|-3x+4|=2x+6\)
\(\Leftrightarrow\orbr{\begin{cases}-3x+4=2x+6\\-3x+4=-2x-6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-3x-2x=6-4\\-3x+2x=-6-4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-5x=2\\-x=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-2}{5}\\x=10\end{cases}}\)
bài 1 : tìm x biết ;
a) 2x + 3 = 5 b)(2x - 3)2= 9 c)3x + 4 = 2x - 7 d)(4x - 1)3= 27 e) (x - 7) . 2 =3(2x +4) f) 52x-1= 125 g) 3.(x + 6) - 2x = 3 + 12x
Nếu bài dễ thì cố gắng tự làm bạn nhé.
Bài 1:
a) \(2x+3=5\)
\(\Leftrightarrow2x=5-3=2\)
\(\Leftrightarrow x=2:2=1\)
Vậy: x=1
b) \(\left(2x-3\right)^2=9\)\(=3^2=\left(-3\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}2x-3=3\\2x-3=-3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\left(3+3\right):2=3\\x=\left(-3+3\right):2=0\end{matrix}\right.\)
Vậy: \(x\in\left\{3;0\right\}\)
c) \(3x+4=2x-7\)
\(\Leftrightarrow2x-3x=7+4\)
\(\Leftrightarrow-1x=11\)
\(\Leftrightarrow x=-11\)
Vậy: x=-11
d) \(\left(4x-1\right)^3=27\)\(=3^3\)
\(\Rightarrow4x-1=3\)
\(\Leftrightarrow4x=3+1=4\)
\(\Leftrightarrow x=4:4=1\)
Vậy: x=1
e) \(\left(x-7\right).2=3.\left(2x+4\right)\)
\(\Leftrightarrow2x-14=6x+12\)
\(\Leftrightarrow2x-6x=12+14\)
\(\Leftrightarrow-4x=26\)
\(\Leftrightarrow x=\frac{26}{-4}=\frac{13}{-2}\)
Vậy: \(x=\frac{13}{-2}\)
Tìm x Biết :
a , 2/3 +1/3: x = 3/5
b , (2x / 3 ) : ( - 10) = 2/5
c , I 2x -1I +1 =4
d , 8- I 1-3x I =3
e , (x+7) ^3 = -125
a) \(\frac{2}{3}+\frac{1}{3}:x=\frac{3}{5}\)
\(\frac{1}{3}:x=\frac{3}{5}-\frac{2}{3}=\frac{9}{15}-\frac{10}{15}=\frac{-1}{15}\)
\(x=\frac{-1}{15}.\frac{1}{3}\)
\(x=\frac{-1}{45}\)
Vậy x = \(\frac{-1}{45}\)
c) \(\left|2x-1\right|+1=4\)
\(\left|2x-1\right|=4-1=3\)
2x-1 = 3 ; -3
TH1: 2.x - 1 = 3
2.x = 3 + 1 = 4
x = 4 : 2 = 2
TH2: 2.x - 1 = -3
2.x = -3 + 1 = -2
x = -2 : 2 = -1
Vậy x \(\in\){ 2 ; -1 }
Ngại làm ấn máy ==
giup mik voi!!
a) 3^x+x^2=1
b) (3x-14)^n=1
c) (5^2x.5^x+1):5=125
3^x+3^x+1+3^x+2=243.39
a. 3^x=1-x^2
x=0 la nghiem
x>=1; VT>=3 VP<=0 vo nghiem
b. (de bai thieu n khac 0 vi neu n=0 dung voi moi x)
3x-14=1=> x=5
c.(5^2x5^x+1)=5^4
5^x+1=5^2=> x=1
Tìm số tự nhiên x:
a) 3^10 . 3^2x -1 . 2^10 = 6^10 . 9^13 . 27
b) 5^3x - 2 . 125 =5^13. 125^5
c) 3^x+2 . 2^x= 9. 6^10
d) 3^x - 3^x = 26. 9^7
5^3x-2 : 5^2x-1 = 125
\(5^{3x-2}:5^{2x-1}=125\)
\(3x-2-2x-1=3\)
\(=>x=2\)
\(\Rightarrow5^{3x-2-2x+1}=5^3\\ \Rightarrow x-1=3\Rightarrow x=4\)
53x−2:52x−1=12553x−2:52x−1=125
3x−2−2x−1=33x−2−2x−1=3
x=2
5^3x-2 : 5^2x-1 = 125