Question

determinati x din 2la puterea x-2 la puterea 100=2la puterea 100

Answer 1

2^x - 2^100 = 2^100 
2^x = 2^100 + 2^100
2^x = 2^100( 1+1) 
2^x = 2^100 x 2 
2^x = 2^101 
x = 101 

Answer 2

$2^{\big{\text{x}}}-2^{\big{100}} = 2^{\big{100}} \\ \\ 2^{\big{\text{x}}} = 2^{\big{100}} +2^{\big{100}} \\ \\ 2^{\big{\text{x}}} = 2^{\big{100}}\cdot(1+1) \\ \\ 2^{\big{\text{x}}} = 2^{\big{100}}\cdot 2 \\ \\ 2^{\big{\text{x}}} = 2^{\big{100}}\cdot 2^{\big1} \\ \\ 2^{\big{\text{x}}} = 2^{\big{100+1}} \\ \\ 2^{\big{\text{x}}} = 2^{\Big{101}} \\ \\ \text{x} =101$