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

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