17.2^x - 2^x+4 = 256
Loại 2: đặt t = ax , t > 0
1. 3x^2 - x + 2 + 3x - x^2
2. ( √2 + 1 )x - 6.( √2 - 1 )x +1 =0
3. ( √2 +1 )x + ( 3 + 2√2 )x + 1 - √2 = 0
4. ( √3 ) x + 2 + 3x - 4 = 0
5. 22x^2 - 6x + 1 - 17.2x^2 - 3x+1 + 32 = 0
6. 25x + 1 - 29.10x + 4x + 1 = 0
Loại 1: a^x = a <=> x = a
1. 1 / 2√x + √3 = 0,25x
2. 2x . 82x-5 = 1/ 1283x-1
3. 2x + √x+√4 = 256
4x .16
[3.x-6].37=39
2x-2+13.22=17.22
giúp mình mình còn 1 phút nữa đi học
giúp mình đi huhuhu
b) [3x - 6] . 37 = 39
3x - 6 = 39 : 37
3x - 6 = 32
3x = 32 - 6
3x = 9 - 6
3x = 3
x = 1
c) 2x-2 + 13 . 22 = 17 . 22
2x-2 + 13 . 22 = 68
2x-2 + 13 = 68 : 22
2x-2 + 13 = 17
2x-2 = 17 - 13
2x-2 = 4
=> 2x-2 = 22
=> x = 4
tính nhanh ;
a) (1-1/2)x(1-1/3)x(1-1/4)x....x(1-1/2014)x(1-1/2015)
b) 1/2+1/4+1/8+....+1/256
c) 5/2+5/4+5/8+....+5/256
2^x nhân 2^x ^+^4 = 256
\(2^x.2^{x+4+}=256\\ 2^{x+x+4}=256\\ 2^{2x+4}=256\\ 2^{2x+4}=2^8\\ \Rightarrow 2x+4=8\\ \Rightarrow2x=8-4\\ \Rightarrow2x=4\\ \Rightarrow x=\dfrac{4}{2}=2\)
=>2^(x+x+4)=2^8
=>2x+4=8
=>2x=4
=>x=2
1 x 2 x 4 x 8 x ... x 256 = ?
Đặt bểu thức là A
Ta có :
\(A=2^0.2^1.2^2.....2^8\)
\(\Rightarrow A=2^{0+1+2+3+...+8}\)
\(\Rightarrow A=2^{36}\)
1x2x4x8x16x...x256=20x21x22x23x...x28
=20+1+2+3+4+...+8
=236
vậy 1x2x4x8x..x256=236
tính nhanh: 44.3 x 8.6 + 17.2 x 42.7 - 4.3 x2 x 29.7
tính nhanh
a) (1-1/2)x(1-1/3)x(1-1/4)x...x(1-1/2014)x(1-1/2015).
b) 1/2 +1/4+1/8+...+1/256.
c)5/2+5/4+5/8+...+5/256
d)14,35+(13,7-13,6)x1
a.\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{2015}\right)=\frac{1}{2}.\frac{2}{3}...\frac{2014}{2015}=\frac{1.2.3...2014}{2.3...2015}=\frac{1}{2015}\)
b.\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+...+\frac{1}{128}-\frac{1}{256}=1-\frac{1}{256}=\frac{255}{256}\)
c.\(\frac{5}{2}+\frac{5}{4}+\frac{5}{8}+...+\frac{5}{256}=5\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}\right)=5.\frac{255}{256}=\frac{1275}{256}\)
d.14,35+(13,7-13,6).1=14,35+0,1.1=14,35+0,1=14,45
Tìm số tự nhiên x biết?
(x+32)-17.2=42
(x + 32) - 17.2=42
(x + 32) - 34 = 42
x + 32 = 42 + 34
x + 32 = 76
x = 76 - 32
x = 44
Tìm x, y khi x/2 = y/4 và x^4.y^4 = 256
Đặt x/1=y/2=k
=>x=k; y=2k
x^4*y^4=256
=>k^4*16k^4=256
=>16k^8=256
=>k^8=16
=>k^4=4
=>k^2=2
TH1: \(k=\sqrt{2}\)
=>\(x=\sqrt{2};y=2\sqrt{2}\)
TH2: \(k=-\sqrt{2}\)
=>\(x=-\sqrt{2};y=-2\sqrt{2}\)