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a, 2x - 20 = 35 : 32
=> 2x - 1 = 33
=> 2x - 1 = 27
=> 2x = 28
=> x = 14
b, 525.5x + 1 = 525
=> 525+x+1 = 525
=> 25 + x + 1 = 25
=> 26 + x = 25
=> x = -1
a. 2x - 20 = 35 : 32
2x - 1 = 33
2x = 27 + 1
2x = 28
x = 28 : 2
x = 14.
Tìm x , biết:
a, ( 2x + 1)2 = 93
b, ( 2x + 1)3 = 1252
c, 252< 5x+3 < 254
d, x15= x
e, ( x - 5)4 = ( x-5)6
A) \(\left(2x+1\right)^2=9^3\)
\(\Rightarrow\left(2x+1\right)^2=9^2\times9\)
\(\Rightarrow2x+1=81\)
\(\Rightarrow2x=81-1\)
\(\Rightarrow2x=80\)
\(\Leftrightarrow x=40\)
B) \(\left(2x+1\right)^3=125^2\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=5-1\)
\(\Leftrightarrow x=2\)
C) \(25^2< 5^{x+3}< 25^4\)
\(\Leftrightarrow5^4< 5^{x+3}< 5^6\)
\(\Leftrightarrow4< x+3< 6\)
\(\Rightarrow x+3=5\)
\(\Rightarrow x=2\)
D) \(x^{15}=x\)
Nếu \(x>1\)thì \(x^{15}>x\)
Vậy \(x=1\)
E) \(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Rightarrow\left(x-5\right)^4-\left(x-5\right)^6=0\)
\(\Rightarrow\left(x-5\right)\times\left(1^4-1^6\right)=0\)
\(\Rightarrow x-5=0\)
\(\Leftrightarrow x=5\)
KÍCH MK NHA BẠN
a,10+2x=45:43
10+2x=42
10+2x=16
2x=16-10
2x=6
x=6:2
x=3
b,310-(20-x)=300
20-x =310-300
20-x =10
x=20-10
x=10
c,4x+1+40=65
4x+1+40=65
4x+1+1 =65
4x+1 =65-1
4x+1 =64
4x+1 =43
x =3-1
=> x =2
a) 10 + 2x = 45 : 43
10 + 2x = 42 = 16
2x = 16 - 10
2x = 6
x = 3
b) 310 - (20 - x) = 300
310 - 20 + x = 300
290 + x = 300
x = 300 - 290
x = 10
c) 4x + 1 + 40 = 65
4x + + 1 = 65
4x + 1 = 64 = 43
=> x + 1 = 3
=> x = 2
( 2x - 1 )3 . 251003 = 52 . 52007
( 2x - 1 )3 . (52)1003 = 52 . 52007
( 2x - 1 )3 . 52006 = 52 . 52007
( 2x - 1 )3 =52 . 52007:52006
( 2x - 1 )3 =52+2007-2006
( 2x - 1 )3 =53
=>2x - 1=5
2x=5+1
2x=6
x=6:2
x=3
a) 154-(x-4)=2*25
154-x+4=50
x+4=104
x=100
b)2346:(25+x)=23
25+x=102
x=77
\(3\cdot5^{2x+1}-3\cdot25^x=300\)
\(=>3\cdot5^{2x+1}-3\cdot5^{2x}=300\)
\(=>3\cdot\left(5^{2x+1}-5^{2x}\right)=300\)
\(=>3\cdot\left(5^{2x}\cdot5-5^{2x}\right)=300\)
\(=>5^{2x}\cdot\left(5-1\right)=300:3\)
\(=>5^{2x}\cdot4=100\)
\(=>5^{2x}=100:4=25\)
\(=>5^{2x}=5^2\)
\(=>2x=2\)
\(=>x=2:2=1\)