22x-1 - 2 = 2101 - 2
22x-1 = 2101 - 2 +2
22x-1 = 2101
\(\Rightarrow\)2x - 1 = 101
2x = 101 - 1
2x = 100
x = 100 : 2
x = 50
Ta có: \(2^{2x-1}-2=2^{101}-2\)
\(\Leftrightarrow2^{2x-1}=2^{101}\)
\(\Leftrightarrow2x-1=101\)
\(\Leftrightarrow2x=102\)
hay x=51