Title: The Diophantine equation (bn)<sup>x</sup>+(2n)<sup>y</sup>=((b+2)n)<sup>z</sup>
Abstract: Recently, Miyazaki and Togbé proved that for any fixed odd integer $b\geq 5$ with $b\not =89$, the Diophantine equation $b^{x}+2^{y}=(b+2)^{z}$ has only the solution $(x,y,z)=(1,1,1)$. We give an extension of this result.