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1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
1/ 5 x 22 + ( x + 3 ) = 52
2/ 32 x 2 + ( x + 25 ) = 102
3/ 23 x 5 - ( x + 32 ) = 10
4/ 72 - 7 x ( 13 - x ) = 14
5/ 14x - 2 x 72 = 2 x 3 x 7
1 / 5 x 2 2 + ( x + 3 ) = 5 2
20 + ( x + 3 ) = 25
x + 3 = 5
x = 2
2 / 3 2 x 2 + ( x + 25 ) = 10 2
18 + ( x + 25 ) = 100
x + 25 = 82
x = 57
3 / 2 3 x 5 - ( x + 3 2 ) = 10
40 - ( x + 9 ) = 10
x + 9 = 30
x = 21
4 / 7 2 - 7 x ( 13 - x ) = 14
49 - 7 x ( 13 - x ) = 14
7 x ( 13 - x ) = 35
13 - x = 5
x = 8
5 / 14 x - 2 x 7 2 = 2 x 3 x 7
14 x - 98 = 42
14 x = 140
x = 10
nhé !
a, \(\left(2x+7\right)^4=10^{11}:10^7\)
\(\Rightarrow\left(2x+7\right)^4=10^4\)
\(\Rightarrow2x+7=10\)
\(\Rightarrow2x=10-7\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\) hay \(x=1,5\)
b, \(5^{x-1}.7^{x-1}=25.49\)
\(\Rightarrow\)\(5^{x-1}.7^{x-1}=5^2.7^2\)
\(\Rightarrow\left\{{}\begin{matrix}5^{x-1}=5^2\\7^{x-1}=7^2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x-1=2\\x-1=2\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=3\\x=3\end{matrix}\right.\)
c, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
1) 3^4.2+2^3.5-7(5^7:5^5)
=3^4.2+2^3.5-7.5^2
=81.2+8.5-7.25
=162+40-175
=202-175=27
2) 5.2^2.2^3-4(5^8:5^6)
=5.4.8-3.5^2
=160-100=60
3) (3^5.3^7):3^10+5.2^4-7^3:7
=3^12:3^10+5.16-7^2
=3^2+80-7^2
=9+80-49=40
4) 15:(3^5:3^4)-2^9:2^7
=15:3-2^2
=5-4=1
5) 5.3^5:(3^8:3^5)-2^3.5
=5.3^5:3^3-8.5
=5.3^2-40
=5.9-40
=45-40=5
a) \(\left(3^5\times3^7\right):3^{10}+5\times2^4-7^3:7=3^{12}:3^{10}+5\times2^4-7^2\)
\(=3^2-5\times16-7^2=9-80-49=-120\)
b) \(15:\left(3^5:3^4\right)-2^9:2^7=15:3-2^2=5-4=1\)
c)\(5\times3^5:\left(3^8:3^5\right)-2^3\times5=5\times3^5:3^3-2^3\times5\)
\(=5\times3^2-2^3\times5=5\times9-8\times5=45-40=5\)
( 5x+ 3- 5x+2 )= 7: 7. 102
=>(5x. 53- 5x. 52 )=1.102
=>(5x. 125- 5x. 25 ) = 100
=>5x(125- 25 ) =100
=>5x. 100= 100
=>5x = 1
=>5x = 50
=>x = 0
Vậy x=0
a. 7^5 : 7^3 + 3^2 . 2^3 - 2009^0
= 7^2 + 72 - 1
= 49 + 71
= 120
b. 5^3 . 52 + 5^3 . 7^2 - 5^2
= 5^2 . ( 5 . 52 + 5 . 49 - 1 )
= 25 . ( 260 + 245 - 1 )
= 25 . 504
= 12600
c. [ 130 - 3 ( 5 . 2^4 - 5^2 . 2 ) : 2^3 ]
= [ 130 - 3 . 30 : 2^3 ]
= [ 130 - 90 : 8 ]
= [ 130 - 11,25 ]
= -118,75
d. SSH là : ( 150 - 10 ) : 2 + 1 = 71 ( số )
Tổng là : ( 150 + 10 ) . 71 : 2 = 5680
a) 2 . [ ( 95 + 52 : 5 ) : 22 + 180 ] - 22 . 102
= 2 . [ ( 95 + 5 ) : 4 + 180 ] - 202
= 2 . ( 100 : 4 + 180 ) - 400
= 2 . ( 25 + 180 ) - 400
= 2 . 205 - 400
= 410 - 400
= 10
b) 34 . 2 + 23 . 5 - 7 ( 57 : 55 )
= 81 . 2 + 8 . 5 - 7 . 25
= 162 + 40 + 175
= 377
(5x+3 - 5x+2) . 7 = 7.102
5x+2.(5 - 1) = 102
5x+2 . 4 = 100
=> 5x+2 = 25 = 52
=> x + 2 = 2
=> x = 0