2x+2x+4=544
Tìm x:
2x+2x+4=544
\(2^x+2^{x+4}=544\\ \Leftrightarrow2^x.\left(1+2^4\right)=544\\ \Leftrightarrow2^x.17=544\\ \Leftrightarrow2^x=\dfrac{544}{17}=32=2^5\\ Vậy:x=5\)
\(...2^x\left(1+16\right)=544\Rightarrow2^x=544:17=32=2^5\)
\(\Rightarrow x=5\)
c)5^x+1-5^x=20 c)2^x+2^x+4=544 c)4^2x+1+4^2x=80 c)3^2x+2+3^2x+1=108 c)7^x+3-7^x+1=16464
1) \(5^{x+1}-5^x=20\Leftrightarrow5^x\left(5-1\right)=20\Leftrightarrow5^x=5\Leftrightarrow x=1\)
2) \(2^x+2^{x+4}=544\Leftrightarrow2^x\left(1+2^4\right)=544\Leftrightarrow2^x=32\Leftrightarrow x=5\)
3) \(4^{2x+1}+4^{2x}=80\Leftrightarrow4^{2x}\left(4+1\right)=80\Leftrightarrow16^x=16\Leftrightarrow x=1\)
4) \(3^{2x+2}+3^{2x+1}=108\Leftrightarrow3^{2x}\left(3^2+3\right)=108\Leftrightarrow9^x=9\Leftrightarrow x=1\)
5) \(7^{x+3}-7^{x+1}=16464\Leftrightarrow7^x\left(7^3-7\right)=16464\Leftrightarrow7^x=49\Leftrightarrow x=2\)
c:Ta có: \(5^{x+1}-5^x=20\)
\(\Leftrightarrow5^x\cdot5-5^x=20\)
\(\Leftrightarrow5^x\cdot4=20\)
\(\Leftrightarrow5^x=5\)
hay x=1
c: Ta có: \(2^x+2^{x+4}=544\)
\(\Leftrightarrow2^x+2^x\cdot16=544\)
\(\Leftrightarrow2^x\cdot17=544\)
\(\Leftrightarrow2^x=32\)
hay x=5
c: Ta có: \(4^{2x+1}+4^{2x}=80\)
\(\Leftrightarrow16^x\cdot4+16^x=80\)
\(\Leftrightarrow16^x\cdot5=80\)
\(\Leftrightarrow16^x=16\)
hay x=1
c: Ta có: \(3^{2x+2}+3^{2x+1}=108\)
\(\Leftrightarrow9^x\cdot9+9^x\cdot3=108\)
\(\Leftrightarrow9^x\cdot12=108\)
\(\Leftrightarrow9^x=9\)
hay x=1
c: Ta có: \(7^{x+3}-7^{x+1}=16464\)
\(\Leftrightarrow7^x\cdot343-7^x\cdot7=16464\)
\(\Leftrightarrow7^x\cdot336=16464\)
\(\Leftrightarrow7^x=49\)
hay x=2
1.
a) 2x + 5 = 34 : 32
b) ( 3x - 24 ) . 73 = 2.74
c) [ 3 . ( 42 - x ) + 15 = 23 . 3
d) 126 + ( 132 - x ) = 300
2.
a) 120 - ( x + 55 ) = 60
b) ( 7x - 11)3 = 25 .52 + 200
c) 2x + 2x+4 = 544
3.
a) 10 + 2x = 49 : 47
b) 70 - 5 ( x - 3 ) = 45
c) 4 + 95 : x = 143 : 142 - 23
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135
3)
a) 10 + 2x = 49 : 47
10 + 2x = 49/47
2x = 49/47 - 10
2x = -421/47
x = -421/47 : 2
x = -421/94
b) 70 - 5(x - 3) = 45
5(x - 3) = 70 - 45
5(x - 3) = 25
x - 3 = 25 : 5
x - 3 = 5
x = 5 + 3
x = 8
c) 4 + 95 : x = 143 : 142 - 23
4 + 95 : x = -3123/142
95 : x = -3123/142 - 4
95 : x = -3691/142
x = 95 : (-3691/142)
x = -13490/3691
2^x+2^(x+4)=544
2 mũ x +2 mũ (x+4)=544
Ta có : 2x + 2x + 4 = 544
=> 2x(1 + 24) = 544
=> 2x.17 = 544
=> 2x = 32
=> 2x = 25
=> x = 5
Vậy x = 5
4+7+10...+544
số số hạng
544-4:3+1=181
tổng là :
(544+4)x181:2=49594
Đ/S:49594
4+7+10...+544
\(2^x+2^{x+4}=544\)
\(\Leftrightarrow2^x\left(1+2^4\right)=544\\ \Leftrightarrow2^x\cdot17=544\\ \Leftrightarrow2^x=32=2^5\Leftrightarrow x=5\)
2^x + 2^x+4 =544
\(2^x+2^{x+4}=544\\\Rightarrow2^x\cdot1+2^x\cdot2^4=544\\\Rightarrow2^x\cdot(1+2^4)=544\\\Rightarrow2^x\cdot(1+16)=544\\\Rightarrow2^x\cdot17=544\\\Rightarrow2^x=544:17\\\Rightarrow2^x=32\\\Rightarrow2^x=2^5\\\Rightarrow x=5\)
\(2^x+2^{x+4}=544\)
=>\(2^x+2^x\cdot2^4=544\)
=>\(2^x\left(1+2^4\right)=544\)
=>\(2^x\cdot17=544\)
=>\(2^x=\dfrac{544}{17}=32\)
=>\(2^x=2^5\)
=>x=5
2^x+2^x+4=544
\(2^x+2^{x+4}=544\)
\(\Rightarrow2^x+2^x\cdot2^4=544\)
\(\Rightarrow2^x\left(1+2^4\right)=544\)
\(\Rightarrow2^x\cdot17=544\)
\(\Rightarrow2^x=32\)
mà \(2^5=32\)
Suy ra: \(x=5\)
Vậy \(x=5\) là giá trị cần tìm.
2+4+6+...+x=544. Tìm x