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(2x - 1)3. 251003=52.52007
(2x - 1)3. (52)1003=52.52007
(2x - 1)3. 52006=52009
(2x - 1)3 =52009 : 52006
(2x - 1)3 = 53
=> 2x - 1 = 5
2x = 6
=> x = 3
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) 2(x-1)^2=800 5^x+1.5^5=5^9
(x-1)^2=800:2 5^x.5.5^5=5^9
(x-1)^2=400 5^x.5^6=5^9
(x-1)^2=20^2 5^x=5^9:5^6
(x-1)=20 5^x=5^3
x=20+1 => x=3
x=21
c) 25^2 : 5(x-1)=25 d)4^x . 7 +8^2=176
625:5(x-1)=25 4^x . 7+64=176
5(x-1)=625:25 4^x . 7=176:64
5(x-1)=25 4^x . 7=112
x-1=25:5 4^x =112:7
x-1=5 4^x=16
x=5+1 mà 16=4^2
x=6 =>4^x=4^2
=>x=2
bài e) mình ko biết !! ^.^
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
( 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
Ta có : 525.5x+1=525
=> 5x+1=525:525
=> 5x+1=1
=> 5x=\(\frac{1}{5}\)\(=\frac{1}{5^1}\)
=> 5x=5-1
=> x=-1
x=-1