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\(x^3=13\times2+2018^0\)
\(\Rightarrow x^3=13\times2+1\)
\(\Rightarrow x^3=27\)
Mà ta thấy 33 = 27
=> x3 = 33
Vậy x = 3
\(2^{x-3}=128\Leftrightarrow2^{x-3}=2^7\Rightarrow x-3=7\Leftrightarrow x=10\)
\(\left(x+6\right)^4=4096\Leftrightarrow\left(x+6\right)^4=2^{12}=\left(2^3\right)^4=8^4\Rightarrow x+6=8\Leftrightarrow x=2\)
\(2^{2018}=\left(2^4\right)^{504}.2^2==16^{504}.4< 16^{900}\\ \)
\(17^{20}>16^{20}=\left(4^2\right)^{20}=4^{40}\)
\(3^{444}=\left(3^4\right)^{111}=81^{111}>64^{111}=\left(4^3\right)^{111}=4^{333}\\ \)
\(\left(x+1\right)^3=27\)
\(\left(x+1\right)^3=3^3\)
\(\Rightarrow x+1=3\)
\(x=2\)
\(\left(x+1\right)^3=27\)
\(< =>\left(x+1\right)^3=3.3.3=3^3\)
\(< =>x+1=3< =>x=3-1=2\)
\(\left(2x+3\right)^3=9.81\)
\(< =>\left(2x+3\right)^3=9.9.9\)
\(< =>\left(2x+3\right)^3=9^3\)
\(< =>2x+3=9< =>2x=6\)
\(< =>x=\frac{6}{2}=3\)
(x+6)4=4096
(x+6)4=84
==> x+6=8 hoặc x+6=—8
==> x=8–6 hoặc x=—8–6
==> x= 2 hoặc x=—14
2x—3=128
2x—3=27
==> x—3=7
x=7+3
x=10
Ss: 22018 và 16900
Ta có 16900=(24)900=23600
Vì 22018<23600
Nên 22018<23600
Bài 1:
|x-2|=4-x
ĐK: \(4-x\ge0\Leftrightarrow x\le4\)
Ta có: \(\orbr{\begin{cases}x-2=4-x\\x-2=x-4\end{cases}\Rightarrow\orbr{\begin{cases}2x=6\\0=2\left(loại\right)\end{cases}\Rightarrow}}x=3\left(tm\right)\)
Vậy x = 3
Bài 2:
a, sao có z
b, Vì \(\hept{\begin{cases}\left|2017-x\right|\ge0\\\left|y-x+2018\right|\ge0\end{cases}\Rightarrow\left|2017-x\right|+\left|y-x+2018\right|\ge0}\)
Mà |2017-x|+|y-x+2018|=0
\(\Rightarrow\hept{\begin{cases}\left|2017-x\right|=0\\\left|y-x+2018\right|=0\end{cases}\Rightarrow\hept{\begin{cases}x=2017\\y-2017+2018=0\end{cases}\Rightarrow}\hept{\begin{cases}x=2017\\y=1\end{cases}}}\)
Vậy x=2017,y=1
c, giống b
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Ta có:
\(\left(x-2018\right)^3=\left(x-2018\right)^2\)
\(\Rightarrow\left(x-2018\right)^2.\left(x-2018\right)=\left(x-2018\right)^2\)
\(\Rightarrow x-2018=1\)
\(\Rightarrow x=2019\)
\(\left(x-2018\right)^3=\left(x-2018\right)^2\)
\(\Rightarrow\left(x-2018\right)^3-\left(x-2018\right)^2=0\)
\(\Rightarrow\left(x-2018\right)^2\left[\left(x-2018\right)-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}x-2018=0\\x-2018=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2018\\x=2019\end{cases}}\)