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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) 2x.23 + 2x = 36
=> 2x. (8 + 1) = 36
=> 2x.9 = 36 => 2x = 4 = 22 => x = 2
b) 3x + 3x.32 + 3x.33 = 35.37
=> 3x. (1 + 32 + 33) = 37
=> 3x. 37 = 35.37 => 3x = 35 => x = 5
c) => 52x+ x+2 = 1252.25
=> 53x+2 = (53)2.52 = 58
=> 3x+2 = 8 => 3x = 6 => x = 2
Vậy..
7x-3.4=196
7x-3=49
x-3=2
x= -1
2x+3+2x=36
2x.9=36
2x=4
x=2
(52x.5x+2):25=1255
53x+2=517
x=5
125(28+72)-25(3^2.4+64)
=125.100-25(9.4+64)
=125.100-25.(36+64)
=125.100-25.100
=12500-2500
=10000
a) Ta có : 5x = 125
=> 5x = 53
=> x = 3
b) Ta có : 32x = 81
=> 32x = 34
=> 2x = 4
=> x = 4 : 2 = 2
c) Ta có : 52x + 3 - 2 . 52 = 52 . 3
=> 52x + 3 = 52 . 3 + 2 . 52
=> 52x + 3 = 52 . (3 + 2)
=> 52x + 3 = 52 . 5 = 53
=> 2x + 3 = 3
=> 2x = 3 - 3 = 0
=> x = 0 : 2 = 0
a)5x=125<=>5x=53=>x=3
b)32x=81<=>32x=34=>2x=4=>x=2
c)52x+3-50=75
52x+3=75+50
52x+3=125
<=>52x+3=53
=>2x+3=3
=>2x=0
=>x=0
a) 5^x=125
=> 5^x=5^2
=>x=2
b) 3^2*x=81
=>3^2*x=9^2
=>3^2*x=(3^2)^2
=>x=2
câu c chưa hiểu chỗ 5^2x3 hay 5^2*3 vậy ?
a) \(5^x=125\)
\(5^x=5^3\)
\(\Rightarrow x=3\)
b)\(3^{2x}=81\)
\(3^{2x}=3^4\)
\(\Rightarrow2x=4\)
\(x=4:2\)
\(x=2\)
c)\(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=5^2.3+5^2.2\)
\(5^{2x-3}=5^2.\left(3+2\right)\)
\(5^{2x-3}=5^3\)
\(\Rightarrow2x-3=3\)
\(2x=3+3\)
\(2x=6\)
\(x=6:2\)
\(x=3\)
(52x.5x+2) : 25 = 1252
52x.5x+2 = 1252.25 = 56.52
52x+x+2 = 58
53x+2 = 58
=> 3x + 2 = 8
=> 3x = 6
=> x = 2