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Câu a:
1 + {-2 - [-3 + (-4 + |x|)]} = 1 - 2 + [(-3 - 4)]
1 + {-2 -[-3 - 4 + |x|]} = 1 - 2 + [-7]
1 + {-2 - [- 7 + |x|]} = 1 - 2 - 7
1 + {- 2 + 7 - |x|} = - 1 - 7
1 + {5 - |x|} = - 8
5 - |x| = - 8 - 1
5 - |x| = - 9
|x| = 5 + 9
|x| = 14
x = - 14 hoặc x = 14
Vậy x ∈ {-14; 14}
Câu b:
34 + (9 - 21) = 3417 - (x + 3417)
34 + (-12) = 3417 - x - 3417
34 - 12 = 3417 - 3417 - x
22 = - x
x = 22 : (-1)
x = - 22
Vậy x = - 22
g) \(\left(x+\frac{1}{2}\right)\left(\frac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\\frac{2}{3}-2x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=\frac{1}{3}\end{cases}}\)
Vây \(x\in\left\{\frac{-1}{2};\frac{1}{3}\right\}\)
a) \(2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Leftrightarrow2x-10-3x-21=14\)
\(\Leftrightarrow-x-31=14\)
\(\Leftrightarrow-x=45\Leftrightarrow x=-45\)
b) \(5\left(x-6\right)-2\left(x+3\right)=12\)
\(\Leftrightarrow5x-30-2x-6=12\)
\(\Leftrightarrow3x-36=12\)
\(\Leftrightarrow3x=48\Leftrightarrow x=16\)
c) \(3\left(x-4\right)-\left(8-x\right)=12\)
\(\Leftrightarrow3x-12-8+x=12\)
\(\Leftrightarrow4x-20=12\)
\(\Leftrightarrow4x=32\Leftrightarrow x=8\)
d) \(-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(\Leftrightarrow-21x+35+14x-28=28\)
\(\Leftrightarrow-7x+35=0\Leftrightarrow x=5\)
\(A=\left|-x+8\right|-21\)
\(A=\left|-x+8\right|-21\ge-21\)
\(MinA=-21\Leftrightarrow-x+8=0\)\(\Leftrightarrow x=8\)
\(B=\left|-x-17\right|+\left|y-36\right|+12\)
\(B=\left|-x-17\right|+\left|y-36\right|+12\ge12\)
\(MinB=12\Leftrightarrow\hept{\begin{cases}-x-17=0\\y-36=0\end{cases}}\Leftrightarrow\hept{\begin{cases}x=-17\\y=36\end{cases}}\)
\(C=-\left|2x+8\right|-35\)
\(C=-\left|2x+8\right|-35\le-35\)
\(MaxC=-35\Leftrightarrow2x+8=0\Leftrightarrow x=-4\)
1, Ta có :
a . 81 = 34 => 3x= 34 => x = 4 .
b. 125 = 53 => 5x+2 = 53 =>x + 2 = 3 => x = 1
c. 23 * 2x - 1 = 64
=> 23 + ( x - 1 ) = 64 = 26
=> 3 + ( x - 1 ) = 6
=> x - 1 = 6 - 3 = 3
x = 3 + 1
x = 4

\(\left(x+17\right)\times21-3=7\)
\(\left(x+17\right)\times21=7+3\)
\(\left(x+17\right)\times21=10\)
\(x+17=10:21\)
\(x+17=\frac{10}{21}\)
\(x=\frac{10}{21}-17\)
\(x=-\frac{347}{21}\)
\(b,5^{x-1}-13=612\)
\(5^{x-1}=612+13\)
\(5^{x-1}=625\)
\(5^{x-1}=5^4\)
\(x-1=4\)
\(x=4+1\)
\(x=5\)
\(e,3^x=3^2\times9\)
\(3^x=3^2\times3^2\)
\(3^x=3^4\)
\(\Rightarrow x=4\)
\(f,2^{3x+4}=1024\)
\(2^{3x+4}=2^{10}\)
\(\Rightarrow3x+4=10\)
\(\Rightarrow3x=10-4\)
\(\Rightarrow3x=6\)
\(\Rightarrow x=2\)
\(a,\left(x+17\right)\times21-3=7\)
\(\Rightarrow\left(x+17\right)\times21=10\)
\(\Rightarrow x+17=\frac{10}{21}\)
\(\Rightarrow x=-\frac{347}{21}\)
\(b,5^{x-1}-13=612\)
\(\Rightarrow5^{x-1}=625\)
\(\Rightarrow5^{x-1}=5^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
\(c,218-5\times\left(x+8\right)=25:2^2\)
\(\Rightarrow218-5\left(x+8\right)=\frac{25}{4}\)
\(\Rightarrow-5\left(x+8\right)=\frac{847}{4}\)
\(\Rightarrow x+8=-\frac{847}{20}\)
\(\Rightarrow x=\frac{1007}{20}\)
\(d,4.3^x=36\)
\(\Rightarrow3^x=9\)
\(\Rightarrow3^x=3^2\)
\(\Rightarrow x=2\)
\(e,3^x=3^2.9\)
\(\Rightarrow3^x=3^2.3^2\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
\(f,2^{3x+4}=1024\)
\(\Rightarrow2^{3x+4}=2^{10}\)
\(\Rightarrow3x+4=10\)
\(\Rightarrow3x=6\)
\(\Rightarrow x=2\)
\(g,3\left(x+6\right)+72=4^2.3^2\)
\(\Rightarrow3\left(x+6\right)+72=144\)
\(\Rightarrow3\left(x+6\right)=72\)
\(\Rightarrow x+6=24\)
\(\Rightarrow x=18\)
\(i,\left(21+x\right):9=9^5.9^4\)
\(\Rightarrow\left(21+x\right):9=9^9\)
\(\Rightarrow21+x=9^{10}\)
\(\Rightarrow x=9^{10}-21\)
\(\Rightarrow x=3486784380\)
a) \(\left(x+17\right)\)x 21 -3 =7
(x+17) x21=7+3
(x+17) x 21=10
(x+17)= 10 : 21
(x+17)=\(\frac{10}{21}\)
x=\(\frac{10}{21}\) - 17
a.( x + 17 ) . 21 - 3 = 7
( x + 17 ) .21 = 10
x + 17 = \(\frac{10}{21}\)
x = \(\frac{10}{21}-17\)
x = -\(\frac{347}{21}\)
Vậy ...
b. 5 x - 1 - 13 = 612
5 x - 1 = 612 + 13
5 x - 1 = 625
5 x - 1 = 54
\(\Rightarrow\) x - 1 = 4
x = 5
Vậy...
c. 218 - 5.( x + 8 ) = 25 : 22
218 - 5.( x + 8 ) = 25 : 4
218 - 5.( x + 8 ) = \(\frac{25}{4}\)
5.( x + 8 ) = 218 - \(\frac{25}{4}\)
5.( x + 8 ) = \(\frac{847}{4}\)
x + 8 = \(\frac{847}{4}:5\)
x + 8 = \(\frac{847}{20}\)
x = \(\frac{847}{20}-8\)
x =\(\frac{687}{20}\)
Vậy .....
d.4 . 3x = 36
3x = 9
3x = 32
\(\Rightarrow\) x = 2
Vậy x = 2
e. 3x= 32. 9
3x = 32 . 32
3x = 34
\(\Rightarrow\) x = 4
Vậy x = 4
f. 23x +4 = 1024
23x + 4 = 210
\(\Rightarrow\) 3x + 4 = 10
3x = 6
x = 2
Vậy ....
g . 3.( x + 6 ) + 72 = 42 . 32
3.( x + 6 ) + 72 = 16. 9
3.( x + 6 ) + 72 = 144
3. ( x + 6 ) = 144 - 72
3. ( x + 6 ) = 72
x + 6 = 24
x = 18
Vậy.....
i. ( 21 + x ) : 9 = 95 . 94
( 21 + x ) : 9 = 99
21 + x = 99 . 9
21 + x = 910
x = 910 - 21
x = 3486784380
Vậy .....