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a) \(x+5=2015-\left(12-7\right)\)
\(\Leftrightarrow x+5=2015-5\)\(\Leftrightarrow x+5=2010\)
\(\Leftrightarrow x=2005\)
Vậy \(x=2005\)
b) \(-7\left|x+3\right|=-49\)\(\Leftrightarrow\left|x+3\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}x+3=-7\\x+3=7\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-10\\x=4\end{cases}}\)
Vậy \(x=-10\)hoặc \(x=4\)
c) \(\left(105-x\right):2^5=2015^0+1\)
\(\Leftrightarrow\left(105-x\right):32=1+1\)\(\Leftrightarrow\left(105-x\right):32=2\)
\(\Leftrightarrow105-x=64\)\(\Leftrightarrow x=41\)
Vậy \(x=41\)
a. x+5 = 2015-(12-7)
x+5= 2015-5
x+5 = 2010
x=2005
b, -7/ x+3/ =-49
/x+3/ = 7
x+3 = 7 suy ra x=4
hoặc x+3= -7 suy ra x=-10
c. (105-x) : 2^5= 2015^0 + 1
(105-x) : 32= 1+1
(105-x) : 32= 2
105-x= 64
x= 41
Cái này kiến thức cơ bản thôi ạ
\(105^5.105^6\div105^8-105^3+105^7\)
\(=105^{11}\div105^8-105^3+105^7\)
\(=105^3-105^3+105^7\)
\(=0+105^7\)
\(=105^7\)
bài 1:tính nhanh nếu có thể
250:{855:[540-(81+62x23)]}
= 250:{855:[540-( 81 + 36 x 8)]}
= 250:{855:[540-( 81 + 288 )]}
= 250:{855:[540 - 369 ]}
= 250:{855 : 171}
= 250:5
= 50
bài 2:tìm số tự nhiên x
a.(x-17).200=400
( x - 17 ) = 400 : 200
x - 17 = 2
x = 2 + 17
x = 19
b.(x-105):21=15
( x - 105 ) = 15 x 21
( x - 105 ) = 315
c.541+(218-x)=735
(218-x) = 735 - 541
218-x = 194
x = 218 - 194
x = 24
d.24+5x=75:73
24 + 5x = 72
24 + 5x = 49
5x = 49 - 24
5x = 25
=> x = 25 : 5
x = 5
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, \(\left(x-5\right)^{2018}=9.\left(x-5\right)^{2016}\)
\(\Rightarrow\dfrac{\left(x-5\right)^{2018}}{\left(x-5\right)^{2016}}=9.\dfrac{\left(x-5\right)^{2016}}{\left(x-5\right)^{2016}}\)
\(\Rightarrow\left(x-5\right)^2=9\)
\(\Leftrightarrow\left(x-5\right)^2=3^2\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=3+5\)
\(\Rightarrow x=8\)
105 - ( x + 7 ) = 27-5
<=> 105 - x - 7 = 22
<=> 98 - x = 4
<=> x = 98 - 4
<=> x = 94