Tìm số tận cùng của số 3 mũ 2014
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\(\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+...+\frac{2}{19.20.21}\right).x=5\)
\(\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+...+\frac{21-19}{19.20.21}\right).x=5\)
\(\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{19.20}-\frac{1}{20.21}\right).x=5\)
\(\left(\frac{1}{1.2}-\frac{1}{20.21}\right).x=5\)
\(\frac{209}{420}.x=5\)
\(\Rightarrow x=5\div\frac{209}{420}=\frac{2100}{209}\)
\(\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+...+\frac{2}{19.20.21}\right).x=5\)
\(\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{19.20.21}\right).2.x=5\)
\(\left(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}\right)+\frac{1}{2}.\left(\frac{1}{2.3}-\frac{1}{3.4}\right)+...+\frac{1}{2}.\left(\frac{1}{19.20}-\frac{1}{20.21}\right)\right).x.2=5\)
\(\left(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{19.20}-\frac{1}{20.21}\right)\right).x=5\div2\)
\(\left(\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{20.21}\right)\right).x=2,5\)
\(\left(\frac{1}{2}.\left(\frac{1}{2}-\frac{1}{420}\right)\right).x=2,5\)
\(\left(\frac{1}{2}\times\frac{209}{420}\right)\times x=2,5\)
\(\frac{209}{840}\times x=2,5\)
\(x=2,5\div\frac{209}{840}=10\frac{10}{209}\)
a, (23. x + 45) : 6 = 19 b , (x : 23 + 45) . 67 = 6911
(23 . x + 45) = 19 x 6 ( x : 23 + 45) = 6911 : 67
(23 . x + 45) = 114 ( x : 23 + 45) = 6911/67
23 . x = 114 - 45 x : 23 = 6911/67 - 45
23 . x = 69 x : 23 = 3896/67
x = 69 : 23 x = 3896/67 x 23
x =3 x = 89608/67
c, x + (x + 1) + (x + 2) + ... + (x + 2011) = 2025078
x + x + x + ... + x + (1 + 2 + ... + 2011) = 2025078
2012x + 2024072 = 2025078
2012x = 2025078 - 2024072
2012x = 1006
=> x = 1/2 = 0,5
a) (23.x+45):6 = 19
23.x+45 = 19 . 6
23.x+45 = 114
23x = 114 - 45
23x = 69
x = 63 : 23
x = 3
b) (x:23+45) . 67 = 6911
x:23+45 = 6911 : 67
x:23+45 = \(\frac{6911}{67}\)
x:23 = \(\frac{6911}{67}-45\)
x:23 = \(\frac{3896}{67}\)
x = \(\frac{3896}{67}.23\)
x = \(\frac{89608}{67}\)
c) x + ( x + 1 ) + ( x + 2 ) + .....+ (x + 2011) = 2025078
=> có 2011 cặp và 1 số x
=> (x+x+x+...+x) + ( 1 + 2 + ... + 2011 ) = 2025078
=> 2012x + 2023066 = 2025078
2012x = 2025078 - 2023066
2012x = 2012
x = 2012 : 2012
x = 1
a)
3,2 . x + ( -1,2 ) . x + 2,7 = -4,9
x . ( 3,2 - 1,2 ) + 2,7 = -4,9
x . 2 + 2,7 = -4,9
x . 2 = -4,9 - 2,7
x . 2 = -7,6
x = -7,6 : 2
x = -3,8
b) ( -5,6 ) . x + 2,9 . x - 3,86 = -9,8
x . ( -5,6 + 2,9 ) - 3,86 = -9,8
x . ( -2,7 ) - 3,86 = -9,8
x . ( -2,7 ) = -9,8 + 3,86
x . ( -2,7 ) = -5,94
x = ( -5,94 ) : ( -2,7 )
x = 2,5
a) 3,2 x + (-1,2) x +2,7 = -4,9
x(3,2 +-1.2 ) +2,7 =-4,9
x . 2 +2,7 =-4,9
x.2 = -7,6
x= -3,8.
b) (-5,6) . x + 2,9 x - 3,86 = -9,8
x (-5,6 + 2,9) - 3,86 = -9,8
x. -2,7 = -5,94
x =2,2
a, 2x . 4 = 128
2x = 128 : 4
2x = 32
2x = 25
=> x = 5
b, x15 = x1
=> x15 - x = 0
x . ( x14 - 1 ) = 0
=> x = 0 hoặc x14 - 1 = 0
=> x = 0 hoặc x = 1
c, (2x + 1)3 = 125
( 2x + 1 )3 = 53
=> 2x + 1 = 5
=> 2x = 5 - 1
=> 2x = 4
=> x = 4 : 2
=> x = 2
d, (x – 5)4 = (x - 5)6
=> ( x - 5 )6 - ( x - 5 )4 = 0
=> ( x - 5 )4 . [ ( x - 5 )2 - 1 ] = 0
=> \(\orbr{\begin{cases}\left(x-5\right)^4=0\\\left(x-5\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)
e, x10 = x
x10 - x = 0
x . ( x9 - 1 ) = 0
\(\Rightarrow\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)
f, (2x -15)5 = (2x -15)3
( 2x - 15 )5 - ( 2x - 15 )3 = 0
( 2x - 15 )3 . [ ( 2x - 15 )2 - 1 ] = 0
\(\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}2x-15=0\\2x-15=1\end{cases}\Rightarrow}\orbr{\begin{cases}x\text{ không tồn tại}\\x=8\end{cases}}}\)
(50-1):1+1=50 số
=(50-49)+(48-47)+...+(4-3)+(2-1). Ta có 25 cặp số
=1+1+1+....+1
=1.25
=25
B={11;12;13;14;15;16;17;18;19;20;21;22;23;24;25;26;27;28;29} có (29-11):1+1=19(số)
Vậy đáp án đúng là B.19
B.19 mình chắc chắn 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%
Ta có:
34n+1 = ...3
34n+2 = ...3 . 3 = ...9
Mà 2014 chia 4 dư 2
=> 32014 = ...9