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(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
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
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
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) 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..
\(a,4^{2x-6}=1\)\(\Leftrightarrow2x-6=0\Leftrightarrow2x=6\Rightarrow x=3\)
\(b,2^{2x-1}=16\Rightarrow2^{2x-1}=2^4\)
\(\Rightarrow2x-1=4\Rightarrow2x=5\Rightarrow x=\frac{5}{2}\)
\(c,5< 5^x< 125\Rightarrow5^1< 5^x< 5^3\)\(\Rightarrow1< x< 3\)
\(d,5^{x+1}=125\Rightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)
\(a,4^{2x-6}=1\)
\(4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\Leftrightarrow x=3\)
\(b,2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
1) 3x+4 = 243
3x+4 = 35
=> x + 4 = 5
x = 5 - 4
x = 1
Vậy x = 1
2) (x-3)2 = 25
(x-3)2 = 52
=> x - 3 = 5
x = 5 + 3
x = 8
Vậy x = 8
3) (2x-1)3 = 125
(2x-1)3 = 53
=> 2x - 1 =5
2x = 5 + 1
2x = 6
x = 6:2
x = 3
Vậy x=3
5) 15 - x = 7 - (-2)
15 - x = 7 + 2
15 - x = 9
x = 15 - 9
x = 6
6) / x - 3 / = 7 - (-2)
/ x - 3 / = 7 + 2
/ x - 3 / = 9
TH1: x - 3 = 9
x = 9 + 3
x = 12
TH2: x - 3 = -9
x = -9 + 3
x = -6
Vậy x = 12,-6
7) /x-5/ = /-7/
x - 5 = -7
x = -7 + 5
x = -2
Tham Khảo]
(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