Question

(1/7)^4 – 2x = √7
write the correct ANSWER

Answer 1

$( \frac{1}{7})^{4 - 2x} = \sqrt{7 } \\( \frac{1}{7})^{4 - 2x} = {7}^{ \frac{1}{2} } \\( \frac{1}{7})^{4 - 2x} = (\frac{1}{7}) ^{ - \frac{ 1}{2} } \\ 4 - 2x = - \frac{1}{2} \\ \\ - 2x = - \frac{1}{2} - 4 \\ - 2x = \frac{ - 1 - 8}{2} \\ - 2x = - \frac{ 9}{2} \\ x = \frac{9}{4}$