Question

Answer 1

2^2x-1 - 2 = 2¹⁰¹ - 2

2^2x-1 = 2¹⁰¹ - 2 +2 

2^2x-1 = 2¹⁰¹

2x - 1 = 101

2x = 101 - 1

2x = 100

x = 100 : 2

x = 50

Answer 2

     2^{2x - 1} - 2 = 2¹⁰¹ - 2

\(\Rightarrow\) 2^{2x - 1} = 2¹⁰¹

\(\Rightarrow\) 2x - 1 = 101

\(\Rightarrow\) 2x = 102

\(\Rightarrow\) x = 51

Vậy x = 51

Answer 3

Ta có: \(2^{2x-1}-2=2^{101}-2\)

\(\Leftrightarrow2x-1=101\)

\(\Leftrightarrow2x=102\)

hay x=51