  In this manuscript, we consider the logarithmic Schr\"{o}dinger equation
  \begin{eqnarray*} -\varepsilon^2\Delta u+V(x)u=u\log u^{2},\,\,\,u>0, &
\text{in}\,\,\,\mathbb{R}^{N}, \end{eqnarray*} where $N\geq3$, $\varepsilon>0$
is a small parameter. Under some assumptions on $V(x)$, we show the existence
of positive multi-peak solutions by Lyapunov-Schmidt reduction. It seems to be
the first time to study singularly perturbed logarithmic Schr\"{o}dinger
problem by reduction. And here using a new norm is the crucial technique to
overcome the difficulty caused by the logarithmic nonlinearity. At the same
time, we consider the local uniqueness of the multi-peak solutions by using a
type of local Pohozaev identities.
