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(3x - 4)10 - 3 = 1021
(3x - 4)10 = 1024 = 210
=>3x - 4 = 2
3x = 6
x = 2
\(\left(3x-4\right)^{10}-3=1021\)
\(\Rightarrow\orbr{\begin{cases}3x-4=\sqrt[10]{1024}\\3x-4=-\sqrt[10]{1024}\end{cases}}\Rightarrow\orbr{\begin{cases}3x-4=2\\3x-4=-2\end{cases}}\Rightarrow\orbr{\begin{cases}3x=6\\3x=2\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=\frac{2}{3}\end{cases}}\)
Vậy: \(\orbr{\begin{cases}x=2\\x=\frac{2}{3}\end{cases}}\)
(x+1) + (x+2) + ... + (x+100) = 5750
(x+x+...+x) + (1+2+..+100) = 5750
100x + (101 x 100 : 2 ) = 5750
100x + 5050 = 5750
=> 100x = 5750 - 5050
100 x = 700
=> x = 700 : 100
=> x = 7
\(a.\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(\left(x+x+x+...+x\right)+\left(1+2+3+4+...+100\right)=5750\)
\(100x+\left(1+2+3+4+...+100\right)=5750\)
\(100x+5050=5750\)
\(100x=5750-5050\)
\(100x=700\)
\(x=700:100\)
\(x=7\)
(18-2x)10- 3= 1021
\(\Rightarrow\) (18-2x)10 = 1024
\(\Leftrightarrow\) (18-2x)10 = 210
\(\Rightarrow\) 18-2x = 2
\(\Rightarrow\) 2x = 16
\(\Rightarrow\) x = 8
a) 3. − 5 11 = 3. ( − 5 ) 11 = − 15 11
b ) 3 5 + 4 7 . 14 6 = 3 5 + 4.14 7.6 = 3 5 + 4 3 c ) 10 21 − 3 8 . 4 15 = 10 21 − 3.4 8.15 = 10 21 − 1 10 d ) 2 3 + 3 4 . 5 7 + 5 14 = 8 12 + 9 12 . 10 14 + 5 14
1)\(10-2\left(4-3x\right)=-4\)
\(\Rightarrow2\left(4-3x\right)=10-\left(-4\right)\)
\(\Rightarrow2\left(4-3x\right)=14\)
\(\Rightarrow4-3x=7\)
\(\Rightarrow3x=-3\)
\(\Rightarrow x=-1\)
Vậy x=-1
2)????
3)\(24:\left(3x-2\right)=-3\)
\(\Rightarrow3x-2=-8\)
\(\Rightarrow3x=-6\)
\(\Rightarrow x=-2\)
Vậy x=-2
4)\(-45:5\left(-3-2x\right)=3\)
\(\Rightarrow5\left(-3-2x\right)=-15\)
\(\Rightarrow-3-2x=-3\)
\(\Rightarrow2x=0\)
\(\Rightarrow x=0\)
Vậy x=0
_Học tốt_