Question

[Vu Hai Ha]

A , (x - 2013)^2014 =1
B, So sánh :
a, 2^333 và 3^222
b, 3^2009 và 9^1005

Answer 1

[Mashiro Shiina]

a)\(\left(x-2013\right)^{2014}=1\Leftrightarrow\left[{}\begin{matrix}x-2013=1\\x-2013=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2014\\x=2012\end{matrix}\right.\)

b) \(2^{333}=\left(2^3\right)^{111}=8^{111}< 9^{111}=\left(3^2\right)^{111}=3^{222}\)

\(3^{2009}< 3^{2010}=\left(3^2\right)^{1005}=9^{1005}\)