Question

решите показательное уравнение 2^3+x=0,4*5^3+x

Answer 1

$2^{3+x}=0,4\cdot 5^{3+x}\\\\2^{3+x}=\frac{2}{5}\cdot 5^{3+x}\, |:5^{3+x}\ \textgreater \ 0\\\\(\frac{2}{5})^{3+x}=\frac{2}{5}\\\\3+x=1\\\\x=-2$