Question

Найдите корень уравнения 4¹⁻ˣ=32

Answer 1

${4}^{1 - x} = 32 \ {2}^{2 - 2x} = {2}^{5} \ 2 - 2x = 5 \ 2x = - 3 \ x = - 1.5$

Answer 2

$4^{1-x}=32\\(2^{2})^{1-x}=2^{5}\\2^{2-2x} =2^{5} \\2-2x=5\\2x=-3\\x=-1,5$