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a. (x-2)3=27
<=> (x-2)3=33
=> x-2=3 =>x=5
c.(2x-3)2=25
<=> (2x-3)2=52
=>2x-3=5 => 2x=8 =>x=4
a) ( x-2)3 = 27
(x-2)3 = 33
x-2 = 3
x = 5
b) 2x + 2x+3= 144
2x ( 1 + 23 ) = 144
2x . 9 = 144
2x = 16
2x = 24
x = 4
c) ( 2x-3)2= 25
(2x-3)2 = 52
2x-3 = 5
2x = 8
x = 4
d) ( 2x-1)10= ( 2x-1) 100
Dễ thấy 2x - 1 = 0 vì 010 = 0100
Vậy x = 0,5
Nếu 2x - 1 \(\ne\)0
( 2x - 1 )10 : ( 2x - 1 )10 = ( 2x - 1 )100 : ( 2x - 1 )10
( 2x - 1 )90 = 1
Vậy 2x - 1 = 1 hoặc - 1.
Vậy x = 1 ; 0 ; 0,5.
\(a)2^{x+3}+2^x=144\)
\(2^x.3+2^x.1=144\)
\(2^x.\left(3+1\right)=144\)
\(2^x.4=144\)
\(2^x=144:4\)
\(2^x=36\)
\(\Rightarrow x\in\varnothing\)
phần b chịu
a, 2x+3 + 2x = 144
2x . 23 + 2x . 1 = 144
2x . ( 23 + 1 ) = 144
2x . 9 = 144
2x = 144 : 9
2x = 16
2x = 24
x = 4
2x + 2x+3 = 144
\(\Rightarrow\)2x + 2x . 8 = 144
\(\Rightarrow\)2x . ( 8 + 1 ) = 144
\(\Rightarrow\)2x . 9 = 144
\(\Rightarrow\)2x = 16
\(\Rightarrow\)2x = 24
\(\Rightarrow\)x = 4
( 4x - 1 ) 2 = 25 . 9
\(\Rightarrow\)(4x - 1 )2 = 52 . 32
\(\Rightarrow\)(4x - 1 ) 2 = 152
\(\Rightarrow\)4x - 1 = 15
\(\Rightarrow\)4x = 16
\(\Rightarrow\)x = 4
a)3x-1+5.3x-1=162
3x-1.1+5.3x-1=162
3x-1.(5+1)=162
3x-1.6=162
3x-1=162/6
3x-1=27
3x-1=33
Suy ra x-1=3
x=3+1=4
b)2x+3+2x=144
2x.8+2x=144
2x.8+2x.1=144
2x.(8+1)=144
2x.9=144
2x=144/9
2x=16
2x=24
Suy ra x=4
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
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
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x.2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x.9=144\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy x = 4