(2.x-3)4=625
a) 3\(^{x-1}\)+3\(^x\)+3\(^{x+1}\)=1053
b) 5\(^{x-2}\).5\(^x\).5\(^{x+2}\).5\(^{x+4}\)= 625
giúp mình nha
a) \(3^{x-1}+3x+3^{x+1}=1053\)
\(=3^x:3+3^x+3^x.3=1053\)
\(=3^x.\dfrac{1}{3}+1+3=1053\)
\(=3^x.\dfrac{13}{5}=1053\)
\(=3^x=243\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
Tìm x: a,(4/9)^x=(3/2)-5 b,(4/9)^2x+1=625/256
\(a,\left(\dfrac{4}{9}\right)^x=\left(\dfrac{3}{2}\right)^{-5}\\ \Leftrightarrow\left(\dfrac{2}{3}\right)^{2x}=\left(\dfrac{2}{3}\right)^5\\ \Rightarrow x=\dfrac{5}{2}\)
Vậy....
Bài 2 Tìm x
b) |x+4/15|=-|-2,15|+|-3,75|
c) |3/4.x-3/4|-3/4=|-3/4|
d) (3^x)^2:3^3=1/243
e) 5^x.(5^3)^2=625
1, Tìm x biết
a, ( 4/5 )^2x+5 = 625/256
b, ( 3x - 4 )^4 = ( 3x - 4 )^2
c, 3^x+1 = 9^x
d, 2^2x+3 = 4^x-5
a: =>2x+5=4
=>2x=-1
hay x=-1/2
b: \(\Leftrightarrow\left(3x-4\right)^2\cdot\left[\left(3x-4\right)^2-1\right]=0\)
=>(3x-4)(3x-5)(3x-3)=0
hay \(x\in\left\{1;\dfrac{4}{3};\dfrac{5}{3}\right\}\)
c: \(\Leftrightarrow3^{x+1}=3^{2x}\)
=>2x=x+1
=>x=1
d: \(\Leftrightarrow2^{2x+3}=2^{2x-10}\)
=>2x+3=2x-10
=>0x=-13(vô lý)
(12/25)^x=(5/3)^-2-(-3/5)^4
(12/25)^x=144/625
(12/25)^x=(12/25)^2
=>x=2
3x+2+3x+3=108
254x+3. 1252x+4=6254
3x+2+3x+3=108
3x . 32 + 3x . 33 = 108
3x . ( 32 + 33 ) = 108
3x . 36 =108
3x = 108 : 36
3x = 3
3x = 31
=> x = 1
(2x-1)4=625
32.x+1.11=2673
(2x-1)4=625
=> (2x-1)4=54
=> 2x-1=5
=> 2x=5+1
=> 2x=6
=> x=6:2
=> x=3
32x+1.11=2673
=> 32x+1=2673:11
=> 32x+1=243
=> 32x+1=35
=> 2x+1=5
=> 2x=5-1
=> 2x=4
=> x=4:2
=> x=2
(2x -1) mũ 4 =625
(2x -1 ) mũ 4 = 5 mũ 4
=> 2x - 1 = 5 hoặc 2x - 1 = -5
=> 2x = 5 + 1 hoặc -5 +1
=>2x =6 hoặc 2x =-4
=> x = 6:2 hoặc x = -4:2
=>x = 3 hoặc x = 2
Thực hiện phép tính:
\(D=\left(\frac{1}{625}-\frac{1}{1^4}\right).\left(\frac{1}{625}-\frac{1}{2^4}\right).\left(\frac{1}{625}-\frac{1}{3^4}\right)......\left(\frac{1}{625}-\frac{1}{2014^4}\right)\)