2013+x=2012
100-3.|x|=5.(3mu 2 -1)
75-(3.5mũ2-7.2 mu 3)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 1:
a) \(8^5\cdot8^2=8^7\)
b) \(9^3\cdot3^2=\left(3^2\right)^3\cdot3^2=3^6\cdot3^2=3^8\)
c) \(2^7\cdot5^7=10^7\)
d) \(27^6:3^3=\left(3^3\right)^6:3^3=3^{18}:3^3=3^{15}\)
Bài 2:
a) \(x^6:x^3=125\)
\(\Rightarrow x^3=125\)
\(\Rightarrow x=5\)
b) \(x^{20}=x\)
\(\Rightarrow x^{20}-x=0\)
\(\Rightarrow x\left(x^{19}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{19}-1=0\Rightarrow x=1\end{matrix}\right.\)
c) \(3^x\cdot3=243\)
\(\Rightarrow3^x=81\)
\(\Rightarrow x=4\)
d) \(2x-138=2^3\cdot3^2\)
\(\Rightarrow2x-138=72\)
\(\Rightarrow2x=200\)
\(\Rightarrow x=100\)
Giải:
Bài 1:
a) \(8^5.8^2=8^{5+2}=8^7\)
b) \(9^3.3^2=3^6.3^2=3^{6+2}=3^8\)
c) \(2^7.5^7=\left(2.5\right)^7=10^7\)
d) \(27^6:3^3=3^{18}:3^3=3^{18-3}=3^{15}\)
Bài 2:
a) \(x^6:x^3=x^{6-3}=x^3=125\)
\(\Leftrightarrow x=5\)
b) \(x^{20}=x\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=1\end{matrix}\right.\)
c) \(3^x.3=243\)
\(\Leftrightarrow3^{x+1}=243\)
\(\Leftrightarrow3^{x+1}=3^5\)
\(\Leftrightarrow x+1=5\Leftrightarrow x=4\)
d) \(2.x-138=2^3.3^2\)
\(\Leftrightarrow2.x-138=8.9\)
\(\Leftrightarrow2.x-138=72\)
\(\Leftrightarrow2.x=72+138\)
\(\Leftrightarrow2.x=210\Leftrightarrow x=105\)
Chúc bạn học tốt!
\(C=1+3+3^2+3^3+...+3^{11}\)
\(\Rightarrow C=3^0+3^1+3^2+3^3+...+3^{11}\)
\(\Rightarrow3C=3^1+3^2+3^3+3^4+...+3^{12}\)
\(\Rightarrow3C-C=\left(3^1+3^2+3^3+3^4+...+3^{12}\right)-\left(3^0+3^1+3^2+3^3+...+3^{11}\right)\)
\(\Rightarrow2C=3^{12}-3^0\)
\(\Rightarrow C=\frac{3^{12}-1}{2}\)
ban nao tra loi nhanh se dc 3 k
2013 + x = 2012 100 - 3 . | x | = 5 . ( 32 - 1 ) 75 - ( 3 . 52 - 7 . 23 )
x = 2012 - 2013 100 - 3 . | x | = 5 . 8 = 75 - ( 75 - 56 )
x = -1 100 - 3 . | x | = 40 = 75 - 75 + 56
3. | x | = 100 - 40 = 0 + 56
3. | x | = 60 = 56
| x | = 60 : 3
| x | = 20
Vì | x | = 20 nên x có thể bằng : - 20 hoặc 20