Question

Уравнение по алгебре

Answer 1

$0,1^{7+4x}=100 \\ 10^{-(7+4x)}=10^2 \\ 10^{-7-4x}=10^2 \\ \\ -7-4x=2 \\ -4x=9 \\ \\ x=- \frac{9}{4} =-2 \frac{1}{4}$

Answer 2

${(0.1)}^{7 + 4x} = 100 \\ {10}^{ - 7 - 4x} = {10}^{2} \\ - 7 - 4x = 2 \\ - 4x = 9 \\ x = - \frac{ 9}{4} = - 2 \frac{1}{4} = - 2.25 = { - ( \frac{3}{2} ) }^{2}$