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c/ 2x - 1 = \(5^{98}:5^{96}\)
2x - 1 = \(5^2\) = 25
2x = 25 + 1 = 26
x = 26 : 2
x = 13
d/ 7x + 3 = \(3^5.2^3.9\)
7x + 3 = \(3^5.3^2.8=3^7.8=2187.8\)
7x + 3 = \(17496\)
7x = 17496 - 3 = 17493
x = 17493 : 7
x = 2499
e/\(2^{2x+6}=1\)
\(2^{2x+6}=2^0\)
2x + 6 = 0
2x = 0 - 6 = - 6
x = - 6 : 2
x = - 3
j/ \(2^x=8\)
\(2^x=2^3\)
x = 3
g/ \(2^x:2^3=16\)
\(2^{x-3}=2^4\)
x - 3 = 4
x = 4 + 3
x = 7
h/ \(2^x+2^{x+1}+2^{x+2}=56\)
\(2^x\left(1+2+2^2\right)\) = 56
\(2^x.7=56\)
\(2^x=56:7\)
\(2^x=8\)
\(2^x=2^3\)
x = 3
Bài a, b thiên phong giải r, mk chỉ làm những bài còn lại thôi. Chúc bạn học tốt!!!
\(\dfrac{1}{7}=\dfrac{8}{-x}\)=> \(-x=56\)
=> \(x=56\)
2) => 18x = 18
=> x = 1
3) \(\dfrac{-4}{3}+x=\dfrac{-11}{6}\)
=> \(x=\dfrac{-11}{6}+\dfrac{4}{3}\)
=> \(x=\dfrac{-1}{2}\)
4) 45%.x =\(\dfrac{3}{5}\)
=> \(x=\dfrac{3}{5}:\dfrac{9}{20}\)
=> \(x=\dfrac{4}{3}\)
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
a) tính bình thường thôi
b)\(\left(3x-4\right)\times\left(x-1\right)^3=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-4=0\\x-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=1\end{cases}}\)
c) \(2^{2x-1}:4=8^3\)
\(\Leftrightarrow2^{2x-1}=2048\Leftrightarrow2^{2x-1}=2^{11}\Leftrightarrow2x-1=11\Leftrightarrow x=6\)
d) \(x^{17}=x\Leftrightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
e) \(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Leftrightarrow\hept{\begin{cases}x-5=0\\x-5=1\\x-5=-1\end{cases}}\Leftrightarrow\hept{\begin{cases}x=5\\x=6\\x=4\end{cases}}\)
vậy........
a) (x : 23 + 45) . 37 - 22 = 24.105
=> (x : 23 + 45).37 - 22 = 1680
=> (x : 23 + 45).37 = 1702
=> x : 23 + 45 = 46
=> x : 23 = 1
=> x = 23
b) (3x - 4).(x - 1)3 = 0
=> \(\orbr{\begin{cases}3x-4=0\\x-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=1\end{cases}}\)
Vậy \(x\in\left\{\frac{4}{3};1\right\}\)
c) 22x - 1 : 4 = 83
=> 22x - 1 : 22 = (23)3
=> 22x - 1 : 22 = 29
=> 22x - 1 = 211
=> 2x - 1 = 11
=> 2x = 12
=> x = 6
d) x17 = x
=> x17 - x = 0
=> x(x16 - 1) = 0
=> \(\orbr{\begin{cases}x=0\\x^{16}-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x^{16}=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
Vậy \(x\in\left\{0;1;-1\right\}\)
e) (x - 5)4 = (x - 5)6
=> (x - 5)6 - (x - 5)4 = 0
=> (x - 5)4[(x - 5)2 - 1] = 0
=> \(\orbr{\begin{cases}\left(x-5\right)^4=0\\\left(x-5\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-5=0\\\left(x-5\right)^2=1^2\end{cases}}\Rightarrow\orbr{\begin{cases}x-5=0\\x-5=\pm1\end{cases}}\Rightarrow x-5\in\left\{0;1;-1\right\}\)
=> \(x\in\left\{5;6;4\right\}\)
\(2^2.\left(x+3^2\right)-5=55\)
\(4.\left(x+9\right)-5=55\)
\(4.\left(x+9\right)=55+5\)
\(4.\left(x+9\right)=100\)
\(x+9=100:4\)\(\)
\(x+9=25\)
\(x=25-9\)
\(x=16\)
\(7.\left(x+5^2\right)-20=190\)
\(7.\left(x+25\right)-20=190\)
\(7.\left(x+25\right)=190+20\)
\(7.\left(x+25\right)=210\)
\(x+25=210:7\)
\(x+25=30\)
\(x=30-25\)
\(x=5\)
\(6.\left(x+2^3\right)+40=100\)
\(6.\left(x+8\right)+40=100\)
\(6.\left(x+8\right)=100-40\)
\(6.\left(x+8\right)=60\)
\(x+8=60:6\)
\(x+8=10\)
\(x=10-8\)
\(x=2\)
\(95-5.\left(x+2\right)=45\)
\(5.\left(x+2\right)=95-45\)
\(5.\left(x+2\right)=50\)
\(x+2=50:5\)
\(x+2=10\)
\(x=10-2\)
\(x=8\)
\(15.x-133=17\)
\(15.x=17+133\)
\(15.x=150\)
\(x=150:15\)
\(x=10\)
\(14.x+54=82\)
\(14.x=82-54\)
\(14.x=28\)
\(x=28:14\)
\(x=2\)
1/ 2/ 3/ 4/
22(x + 32) - 5 = 55 7(x + 52) - 20 = 190 6(x + 23) + 40 = 100 95 - 5(x + 2) = 45
4(x + 9) - 5 = 55 7(x + 25) - 20 = 190 6(x + 6) + 40 = 100 5(x + 2) = 95 - 45
4(x + 9) = 55 + 5 7(x + 25) = 190 + 20 6(x + 6) = 100 - 40 5(x + 2) = 50
4(x + 9) = 60 7(x + 25) = 210 6(x + 6) = 60 x + 2 = 50 : 5
x + 9 = 60 : 4 x + 25 = 210 : 7 x + 6 = 60 : 6 x + 2 = 10
x + 9 = 15 x + 25 = 30 x + 6 = 10 x = 10 - 2
x = 15 - 9 x = 30 - 25 x = 10 - 6 x = 8
x = 6 x = 5 x = 4
5/ 6/
15x - 133 = 17 14x + 54 = 82
15x = 17 + 133 14x = 82 - 54
15x = 150 14x = 28
x = 150 : 15 x = 28 : 14
x = 10 x = 2
a, \(2.x^x=10.3^{12}+8.27^4\)
\(2.x^x=10.3^{12}+8.3^{12}\)
\(2.x^x=3^{12}.\left(10+8\right)\)
\(2.x^x=3^{12}.18\)
\(2.x^x=3^{12}.2.3^3\)
\(2.x^x=3^{15}.2\)
\(x^x=3^{15}\)( Hình như sai đề )
b,\(3^{2x+2}=9^{x+3}\)
\(3^{2x+2}=3^{2x+3}\)
a, 5(x – 7) = 0
x – 7 = 0
x = 7
b, 95 – 5(x+2) = 45
5(x+2) = 40
x+2 = 8
x = 6
c, 6 2 x + 2 3 + 40 = 100
6(2x+8) = 60
2x+8 = 10
x = 1
d, 3(3x+9)+6 = 96
3(3x+9) = 90
3x+9 = 30
3x = 27
x = 9
e, 2 6 + 5 + x = 3 4
5+x = 81–64
5+x = 17
x = 12