$a)(x+5)^3=64$
$(x+5)^3=4^3$
$x+5=4$
$x=4-5=-1$
$b)(0,4x-1,3)^2=5,29$
$(0,4x-1,3)^2=±2,3^2$
$0,4x-1,3=2,3$ hay $0,4x-1,3=-2,3$
$0,4x=3,6$ hay $0,4x=-1$
$x=9$ hay $x=-2,5$
$c)$(\dfrac{1}{2})^{2x+1}=\dfrac{1}{8}$
$(\dfrac{1}{2})^{2x+1}=(\dfrac{1}{2})^3$
$2x+1=3$
$2x=4$
$x=2$
$d)(-\dfrac{1}{3})^{x-3}=\dfrac{1}{81}$
$(-\dfrac{1}{3})^{x-3}=(-\dfrac{1}{3})^4$
$x-3=4$
$x=4+3=7$
$e)(x-3)^{10}=(x-3)^{11}$
$(x-3)^{10}-(x-3)^{10}.(x-3)=0$
$((x-3)^{10})(x-4)=0$
$(x-3)^{10}=0$ hay $x-4=0$
$x-3=0$ hay $x=4$
$x=3$ hay $x=4$