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1/vì (1,782x-2-1,78x):1,78x=0
nên 1,78x2-2-1,78x=0
=>1,782x-2=1,78x
=>2x-2=x
2x=x+2
=>x=2
2/vì cơ số bằng nhau nên ta có
x-2=1;-1;0
ta có: x-2=1 => x=3
x-2=-1 => x=1
x-2=0 => x=2
3/ta có
(x+2)3=33 =>x+2=3 =>x=1
mik mệt rồi bạn cứ gải tiếp đi
\(\left(x+1\right)^2=81\)
\(\Rightarrow\left(x+1\right)^2=9^2\)
\(\Rightarrow x+1=9\)
\(\Rightarrow x=9-1=8\)
Vậy x = 8
b, \(\left(x+5\right)^3=-64\)
\(\Rightarrow\left(x+5\right)^3=\left(-4\right)^3\)
\(\Rightarrow x+5=-4\)
\(\Rightarrow x=\left(-4\right)-5\)
\(\Rightarrow x=-9\)
Vậy x = -9
c, \(\left(2x-3\right)^2=9\)
\(\Rightarrow\left(2x-3\right)^2=3^2\)
\(\Rightarrow2x-3=3\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
Vậy x = 3
d, \(\left(4x+1\right)^3=27\)
\(\Rightarrow\left(4x+1\right)^3=3^3\)
\(\Rightarrow4x+1=3\)
\(\Rightarrow4x=2\)
\(\Rightarrow x=\frac{1}{2}\)
Vậy x = \(\frac{1}{2}\)
1) Tính
a) 253 : 52 = (52)3 : 52 = 56 : 52 = 54 = 625
\(b)\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{9}{49}\right)^6=\left(\dfrac{3}{7}\right)^{21}:\left[\left(\dfrac{3}{7}\right)^2\right]^6=\left(\dfrac{3}{7}\right)^{21}:\left(\dfrac{3}{7}\right)^{12}=\left(\dfrac{3}{7}\right)^9\) d) 9 . 32 . \(\dfrac{1}{81}\) . 32 = 32 . 32 . \(\dfrac{1}{3^4}\) . 32 = 9
2) Tìm x thuộc Q, biết:
a) 3x + 2 = 27
=> 3x + 2 = 33
x + 2 = 3
x = 3 - 2
x = 1
b) \(\left(\dfrac{1}{2}x-3\right)^4=81\)
\(\Rightarrow\left(\dfrac{1}{2}x-3\right)^4=3^4\)
\(\dfrac{1}{2}x-3=3^{ }\)
\(\dfrac{1}{2}x=3+3\)
\(\dfrac{1}{2}x=9\)
\(x=9:\dfrac{1}{2}\)
\(x=18\)
c) \(\left(x-\dfrac{1}{2}\right)^3=-27\)
\(\Rightarrow\left(x-\dfrac{1}{2}\right)^3=\left(-3\right)^3\)
\(x-\dfrac{1}{2}=-3\)
\(x=-3+\dfrac{1}{2}\)
\(x=\dfrac{-5}{2}\)
d) 5 . 5x + 1 = 125
5x + 1 = 125 : 5
5x + 1 = 25
5x + 1 = 52
x + 1 = 2
x = 2 - 1
x = 1.
1,
\(\left(2x+1\right)^3=-0,001\\ \left(2x+1\right)^3=\left(-0.1\right)^3\\ \Leftrightarrow2x+1=-0.1\\ 2x=-1.1\\ x=-\dfrac{11}{10}:2\\ x=-\dfrac{11}{20}\\ Vậy...\)
2,
\(\left(2x-3\right)^4=\left(2x-3\right)^6\\ \Leftrightarrow\left(2x-3\right)^6-\left(2x-3\right)^4=0\\ \Leftrightarrow\left(2x-3\right)^4\cdot\left[\left(2x-3\right)^2-1\right]=0\\ \Rightarrow\left\{{}\begin{matrix}\left(2x-3\right)^4=0\\\left(2x-3\right)^2-1=0\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}2x-3=0\\\left(2x-3\right)^2=1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}2x=3\\2x-3=1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\x=2\end{matrix}\right.\\ Vậyx\in\left\{\dfrac{3}{2};2\right\}\)
3, Làm tương tự câu 2
5,
\(9^x:3^x=3\\ \left(9:3\right)^x=3\\ 3^x=3\\ \Rightarrow x=1\\ Vậy...\)
6,
\(3^x+3^{x+3}=756\\ 3^x+3^x\cdot3^3\\ 3^x\cdot\left(1+27\right)=756\\ 3^x\cdot28=756\\ \Leftrightarrow3^x=27\\ 3^x=3^3\\ \Rightarrow x=3\\ vậy...\)
7,
\(5^{x+1}+6\cdot5^{x+1}=875\\ 5^{x+1}\cdot\left(1+6\right)=875\\ 5^{x+1}\cdot7=875\\ \Leftrightarrow5^{x+1}=125\\ \Leftrightarrow5^{x+1}=5^3\Leftrightarrow x+1=3\\ \Rightarrow x=2\\ Vậy...\)
9,
a, x2 = \(\dfrac{5}{7}\) . x
x . x = \(\dfrac{5}{7}.x\)
=> x = \(\dfrac{5}{7}\)
b, 3x + 3x+1 = 2430
3x + 3x . 3 = 2430
3x . 3 = 2430 - 3x
3x = \(\dfrac{2430-3^x}{3^x}\)
3x = \(\dfrac{\left(2430:3^x\right)-1}{1}\)
linhpham linh
\(\left(x+\frac{3}{4}\right)^2=\frac{49}{16}\)
\(\Rightarrow\left(x+\frac{3}{4}\right)^2=\frac{7^2}{4^2}\)
\(\Rightarrow\left(x+\frac{3}{4}\right)^2=\left(\frac{7}{4}\right)^2\)
\(\Rightarrow x+\frac{3}{4}=\frac{7}{4}\)
\(\Rightarrow x=\frac{7}{4}-\frac{3}{4}\)
\(\Rightarrow x=1\)
a) \(\left(x+\frac{3}{4}\right)^2=\frac{49}{16}\)
=> x + \(\frac{3}{4}=\frac{7}{4}\)
=> x = \(\frac{7}{4}-\frac{3}{4}=\frac{4}{4}=1\)
c) (3x - 1)2 = 81
=> 3x - 1 = 9
=> 3x = 10
=> x = \(\frac{10}{3}\)
Bài 2
\(a,\left(x-3\right)^2=9\Leftrightarrow\left(x-3\right)^2=3^2\Leftrightarrow x-3=3\Leftrightarrow x=6\)
\(b,\left(\frac{1}{2}+x\right)^2=16\Leftrightarrow\left(\frac{1}{2}+x\right)^2=4^2\Leftrightarrow\frac{1}{2}+x=4\Leftrightarrow x=\frac{7}{2}\)
a) 5x . ( 53) 2 = 625
5x . 56 = 625
mà 625 = 54
Suy ra : x + 6 = 4
x = 4 - 6
x = -2
b) (-3/4 )3x - 1 = 256/81
(-3/4 )3X - 1 = (-3/4)-4
SUY RA : 3X - 1 = -4
3X = -4 + 1 = -3
X = -3 : 3
X = -1
C ) (8x - 1 )2n+1 = 52n+1
SUY RA : 8X - 1 = 5
8X = 5 + 1
8 X = 6
X = 6 : 8
X = 3/4
d) (x - 2/9 )2 = 4/9
mà 4/9 = 2/32
SUY RA : x - 2/9 = 2/3
x = 2/3 + 2/9
x = 24/27
Câu e mình không bít làm bn chịu khó suy nghĩ nha !
Kết quả là j thế?