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\(\left[x^2\right]^4\cdot16=2^{20}\)
\(\Leftrightarrow x^8\cdot16=2^{20}\)
\(\Leftrightarrow x^8\cdot2^4=2^{20}\)
\(\Leftrightarrow x^8=2^{20}:2^4\)
\(\Leftrightarrow x^8=2^{16}\)
\(\Leftrightarrow x^8=\left[2^2\right]^8\)
\(\Leftrightarrow x^8=4^8\Leftrightarrow x=4\)
\(2^{x+3}+2^x=144\)
\(\Leftrightarrow2^x\cdot2^3+2^x=144\)
\(\Leftrightarrow2^x\left[2^3+1\right]=144\)
\(\Leftrightarrow2^x\cdot9=144\)
\(\Leftrightarrow2^x=16\Leftrightarrow x=4\)
Bài cuối tt
X^8=2^16 =>X=4
2^X(2^3+1)=144
=>2^X=16
=>X=4
3^3X(2^2-1)=9^5
=>3^3X=3^9
=>X=3
câu a : x = Hình như đề sai
Câu b : x=4
câu c : x = 5
c) 10 . {[(x : 3 + 17) : 10 + 3 . 2^2] : 10} = 5
[(x : 3 + 17) : 10 + 3 . 4] : 10 = 5 : 10
[(x : 3 + 17) : 10 + 12] : 10 = 1/2
(x : 3 + 17) : 10 + 12 = 1/2 . 10
(x : 3 + 17) : 10 + 12 = 5
(x : 3 + 17) : 10 = 5 - 12
(x : 3 + 17) : 10 = -7
=> x : 3 + 17 = -7 . 10
x : 3 + 17 = -70
x : 3 = -70 - 17
x : 3 = -87
x = -87 . 3
x = -261
a ) \(\left(4x+5\right):3-121:1=4\)
\(\Leftrightarrow\left(4x+5\right):3-11=4\)
\(\Leftrightarrow\left(4x+5\right):3=15\)
\(\Leftrightarrow\left(4x+5\right)=45\)
\(\Leftrightarrow4x=40\)
\(\Leftrightarrow x=10\)
Tiếp tịch như z là đc
a)23 .2x=128
=>23+x=128
=>23+x=27
=>3+x=7
=>x=4
b)2x+2x+3=144
=>2x(1+23)=144
=>2x*9=144
=>2x=16
=>2x=24
=>x=4
c)x-287:285=125
=>x-287-85=125
=>x-4=125
=>x=129
d)3x+4-3x=720
=>3x(34-1)=720
=>3x*80=720
=>3x=9
=>3x=32
=>x=2
e)812x:27x=95
=>(34)2x:(33)x=95
=>38x:33x=95
=>38x-3x=(32)5
=>35x=310
=>5x=10
=>x=2
a)(4.X+5):3-121:11=4
\(\Leftrightarrow\left(4x+5\right):3-11=4\)
\(\Leftrightarrow\left(4x+5\right):3=15\)
\(\Leftrightarrow4x+5=45\)
\(\Leftrightarrow4x=40\)
\(\Leftrightarrow x=10\)
b)2x+2x+3=144
\(\Leftrightarrow2^x\left(1+2^3\right)=144\)
\(\Leftrightarrow2^x=16\)
\(\Leftrightarrow2^x=2^4\)
\(\Leftrightarrow x=4\)
(4x+5):3-121:11=4
(4x+5):3-11=4
(4x+5):3=15
4x+5=45
4x=40
x=10.
1+3+5+...+x=1600
Gọi x=2k+1
Ta có 1+3+...+x=1600
1+3+..+2k+1=1600
(2k+2)[(2k+1-1)/2+1]/2=1600
(2k+2)(k+1)=3200
2(k+1)(k+1)=3200
(k+1)^2=1600
=>k+1=40
k=39. Vậy x=2k+1=2.39+1=79.
2^x+2^x+3=144
2^x(1+2^3)=144
2^x.9=144
2^x=16
2^x=2^4
=>x=4
(x-5)^4=(x-5)^6
(x-5)^6-(x-5)^4=0
(x-5)^4[(x-5)^2-1]=0
(x-5)^4=0, (x-5)^2-1=0
x-5=0, (x-5)^2=1
x=5, x-5=1, x-5=-1
x=5, x=6, x=4.
( x54 )2 = x
=> x = 0;1
2x+3 + 2x = 144
2x . 1 + 2x . 23 = 144
2x . 1 + 2x . 8 = 144
2x . ( 1 + 8 ) = 144
2x . 9 = 144
2x = 144 : 9
2x = 16
2x = 24
x = 4
2x+3 + 24 = 144
=> 2x+3 + 16 = 144
=> 2x+3 = 144-16 = 128
=> 27= 128
=> x + 3 = 7
=> x = 7-3 = 4