Question

Найдите корень уравнения (1/2)^6-2x=4^2x

Answer 1

${( \frac{1}{2}) }^{6 - 2x} = {4}^{2x} \\ \: {2}^{ - 6 + 2x} = {2}^{4x} \\ - 6 + 2x = 4x \\ - 2x = 6 \\ x = - 3$

Ответ: -3

Answer 2

${ (\frac{1}{2} )}^{6 - 2x} = {4}^{2x} \\ {2}^{ - (6 - 2x)} = {2}^{4x} \\ - 6 + 2x = 4x \\ - 6 = 4x - 2x \\ 2x = - 6 \\ x = - \frac{6}{2} \\ x = - 3$