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4^2x+1+4^2x=20
4^2x.4^1+4^2x.1=20
4^2x.(4^1+1)=20
4^2x.5=20
4^2x=20:5
4^2x=4
4^2x=2^2
2x=2
x=2:2
x=1
sai đừng trách mk còn đúng thì 1 like
4^2x+1+4^2x=20
4^2x.4^1+4^2x.1=20
4^2x.(4^1+1)=20
4^2x.5=20
4^2x=20:5
4^2x=4
4^2x=2^2
2x=2
\(a,\left(2600+6400\right)-3\times x=1200\)
\(9000-3\times x=1200\)
\(3\times x=9000-1200\)
\(3\times x=7800\)
\(x=7800:3\)
\(x=2600\)
\(b,\left[\left(6\times x-72\right):2-84\right]\times28=5628\)
\(\left(6\times x-72\right):2-84=5628:28\)
\(\left(6\times x-72\right):2-84=201\)
\(\left(6\times x-72\right):2=201+84\)
\(\left(6\times x-72\right):2=285\)
\(6\times x-72=285\times2\)
\(6\times x-72=570\)
\(6\times x=570+72\)
\(6\times x=642\)
\(x=107\)
\(c,2x-138=2^3:3^2\)
\(2x-138=\frac{8}{9}\)
\(2x=\frac{8}{9}+138\)
\(2x=\frac{1250}{9}\)
\(x=\frac{1250}{9}:2\)
\(x=\frac{625}{9}\)
\(d,42x=39\times42-37\times42\)
\(42x=42\times\left(39-37\right)\)
\(42x=42\times2\)
\(42x=84\)
\(x=2\)
\(42x=39.42-37.42\)
\(\Leftrightarrow42x=84\)
\(\Leftrightarrow x=2\)
42x + 37 . 42 = 39 .42
42x+1554=1638
42x=1638-1554
42x=84
x=84:42
x=2
Vậy x=2
42.x =252.( 39 - 37 )
42.x =252.2 = 504
\(\Rightarrow\)x = 504 : 42 = 12
Vậy x = 12
a) \(\left(x-6\right)^2=9=3^2\)
\(\Rightarrow x-6=3\) hay \(x-6=-3\)
\(\Rightarrow x=9\) hay \(x=3\)
b) \(4^{2x-6}=1=4^0\)
\(\Rightarrow2x-6=0\Rightarrow x=3\)
a) \(\left(x-6\right)^2=9\)
\(\Rightarrow\left(x-6\right)^2=3^2\)
\(\Rightarrow\left[{}\begin{matrix}x-6=-3\\x-6=3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=6\\x=9\end{matrix}\right.\)
b) \(4^{2x-6}=1\)
\(\Rightarrow4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
Tìm x nguyên để các phân số sau là số nguyên:
a) −3x−1−3x−1
b) −42x−1−42x−1
c) 3x+7x−13x+7x−1
d) 4x−13−x
a)-3x-1-3x-1=-6x-2=>x bất kì, x thuộc Z (1)
b)-42x-1-42x-1=-84x-2=>x bất kì, x thuộc Z (2)
c)3x+7x-13x+7x-1=4x-1=>x bất kì x thuộc Z (3)
d)4x-13-x=3x-13=>x bất kì, x thuộc Z (4)
từ (1),(2),(3),(4)=> đề sai !!=='
\(a,\Rightarrow2^{2x-5}=2^5\Rightarrow2x-5=5\Rightarrow x=5\\ b,\Rightarrow4^{2x-1}=4^3\Rightarrow2x-1=3\Rightarrow x=2\\ c,\Rightarrow\left[{}\begin{matrix}2x+2=11\\2x+2=-11\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=-\dfrac{13}{2}\end{matrix}\right.\\ d,\Rightarrow2^{x^3}=256=2^8\Rightarrow x^3=8\Rightarrow x=2\)
a)
\(2^{2x-5}=2^5\)
2x-5=5
2x=10
x=5
b)
\(4^{2x-1}=4^3\)
2x-1=3
2x=4
x=2
c)
\(\left(2x+2\right)^2=11^2\)
2x+2=11
2x=9
x=9/2
a) Ta có : 5 x : 5 2 = 5 2 nên x = 4,
b) Ta có: 5 x + 1 : 5 = 5 4 nên x = 4.
c) Ta có : 4 2 x - 1 : 4 = 4 2 nên x = 2.
81x+16x-x=32.100
96x=3200
x=3200 : 96 =100/3
34x+ 42x - x = 25.102
81 x + 16 x - x = 32 .100
96x = 3200
= 3200 : 96
= 100/3