Tìm x biết 2^x-1 + 5. 2^x-2 = 7/32
Tìm x biết 2^x-1 +5 x 2^x-2 = 7/32
\(2^{x-1}+5.2^{x-2}=\frac{7}{32}\Leftrightarrow\frac{2^x}{2}+5.\frac{2^x}{2^2}=\frac{7}{32}\Leftrightarrow2^x\left(\frac{1}{2}+\frac{5}{4}\right)=\frac{7}{32}\Leftrightarrow2^x=\frac{1}{8}=2^{-3}\)
<=> x=-3
1 thực hiện phép tính
a) -5).8.(-3).(-2)^3
b) 125- (-75)+32-(48+32)
c) 3.(-7)^2+2.(-15)-273
2 tìm sồ nguyên x biết
a) 39-(x-27)=67
b) 55-/7-2.x/=-8
c) 3.(x-5)-2(x+6)=-56
3
a) tìm sồ nguyên x biết 29 chia hết cho x+5
b)tìm các sồ nguyên x,y thỏa mãn điều kiện:
(x-4)(y+3)=7
Tìm x biết
a,2^x-1+5.2^x-2=7/32
b.|x-1|+1=x
c.|x-5|-x=-5
d.|x+1|< hoặc=0
e.(x-1)^5=(x-1)^7
bài 1:tình
a) 31.72+(-31).70-31.2
b) 25.(32+47)-32.(25+47)
c) [ 3.(-2)-(-8)].(-7)-(-2).(-5)
d) (-3)2+33-(-3)0
2)tìm x,y biết:
a) -12(x-5)+7.(3-x)=5
b) 30.(x+2)-6.(x-5)-24x=100
c)(x-3).(2y+1)=7
d) (x-7).(x+3)<0
Tìm x biết
d) 32%-0,25:x=-17/5
e)(x+1/5)^2+17/25=26/25
f)-32/27-(3x-7/9)^3=-24/27
g)60%x+0,4x+x:3=2
h)|20/9-x|=1/12+1/20+1/30+1/42+1/56+1/72
i)8/5+(2/7+2/17+2/37/5/7+5/17+5/37).x=16/5
Lưu ý: câu i 2/7+2/17+2/37 phần(vế trên) 5/7+5/17+5/37(vế dưới)
d) Ta có: \(32\%-0.25:x=-\dfrac{17}{5}\)
\(\Leftrightarrow0.25:x=\dfrac{8}{25}+\dfrac{17}{5}=\dfrac{93}{25}\)
hay \(x=\dfrac{25}{372}\)
Vậy: \(x=\dfrac{25}{372}\)
e) Ta có: \(\left(x+\dfrac{1}{5}\right)^2+\dfrac{17}{25}=\dfrac{26}{25}\)
\(\Leftrightarrow\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=-\dfrac{3}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{2}{5};-\dfrac{4}{5}\right\}\)
f) Ta có: \(-\dfrac{32}{27}-\left(3x-\dfrac{7}{9}\right)^3=-\dfrac{24}{27}\)
\(\Leftrightarrow\left(3x-\dfrac{7}{9}\right)^3=\dfrac{-8}{27}\)
\(\Leftrightarrow3x-\dfrac{7}{9}=-\dfrac{2}{3}\)
\(\Leftrightarrow3x=\dfrac{1}{9}\)
hay \(x=\dfrac{1}{27}\)
g) Ta có: \(60\%\cdot x+0.4x+x:3=2\)
\(\Leftrightarrow\dfrac{4}{3}x=2\)
hay \(x=\dfrac{3}{2}\)
Vậy: \(x=\dfrac{3}{2}\)
h) PT \(\Leftrightarrow\left|\dfrac{20}{9}-x\right|=\dfrac{2}{9}\) \(\Rightarrow\left[{}\begin{matrix}\dfrac{20}{9}-x=\dfrac{2}{9}\\x-\dfrac{20}{9}=\dfrac{2}{9}\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{22}{9}\end{matrix}\right.\)
Vậy ...
i) PT \(\Leftrightarrow\dfrac{8}{5}+\dfrac{2}{5}x=\dfrac{16}{5}\) \(\Leftrightarrow\dfrac{2}{5}x=\dfrac{8}{5}\) \(\Leftrightarrow x=4\)
Vậy ...
Bài 1. Tìm x, biết
b) -2x + 36 = 6
a) -5.x + 32 = (-2)3
d) êx - 4 ê< 7
f) 40 < 31 + êx ê< 47
g) | x + 3| ≤ 2
e) (x + 9) . (x2 – 25) = 0
h) (x – 5)2 = 9
Bài 1:
a) Ta có: \(-5x+32=\left(-2\right)^3\)
\(\Leftrightarrow-5x+32=-8\)
\(\Leftrightarrow-5x=-40\)
hay x=8
Vậy: x=8
b) Ta có: \(-2x+36=6\)
\(\Leftrightarrow-2x=6-36=-30\)
hay x=15
Vậy: x=15
e) Ta có: \(\left(x+9\right)\left(x^2-25\right)=0\)
\(\Leftrightarrow\left(x+9\right)\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+9=0\\x-5=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-9\\x=5\\x=-5\end{matrix}\right.\)
Vậy: \(x\in\left\{-9;5;-5\right\}\)
b,-2x+36=6
tương đương -2x=-30
tương đương x=15
a, -5x+32=(-2)^3
tương đương -5x+32=8
tương đương -5x=-24
tương đương x=24/5
1.Tìm số x, biết:
a/x^7/3^5 = 9
b/32/x^7 = 4
2. Tính biểu thức
2^30/3^20 - (2/3)^20 . 2^10
a) \(\frac{x^7}{3^5}=9\)
=> \(\frac{x^7}{3^5}=3^2\)
=> x7 = 32 . 35 = 37
=> x = 3
b) \(\frac{32}{x^7}=4\)
=> \(\frac{2^5}{x^7}=2^2\)
=> \(2^2\cdot x^7=2^5\)
=> \(x^7=\frac{2^5}{2^2}=2^3\)
=> không tìm được x
2. \(\frac{2^{30}}{3^{20}}-\left(\frac{2}{3}\right)^{20}\cdot2^{10}\)
\(=\frac{2^{30}}{3^{20}}-\frac{2^{20}}{3^{20}}\cdot2^{10}\)
\(=\frac{2^{30}}{3^{20}}-\frac{2^{30}}{3^{20}}=0\)
1) Tìm x, biết:
a) 3 + |-x| = |-7|
b) -3 + |1 - x| = |-2|
c) 5 + |-1 + x| = -|2|
d) -|3| + |2x| = |-3|
e) 1 + |-x + 2| = -|7|
g) -32 + |x - 16| = |12|
h) |-32| - |x - 16| = |-12|
i) -|32| - |16 - x| = |-32|
2) Tìm x, biết:
a) |x| < 10
b) |x| > 0
c) |x| < -1
3) Tính tổng các số nguyên sau:
a) -9 < x < 9
b) -10 < x \(\le\)10
c) -9 < x < 10
1 a x=4
b x=-4
c x=-7
d x=3
e x=10
g x=60
h x=36
i x=16
2a 1,2,3,4,5,6,7,8,9
b 1,2,3,4,5,6,7,8,9.........
c rỗng
3a 0
b 0
c10
Bạn cho mình các bước giải được không?
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