  In this study, we employ the scalar perturbations of the charged dilaton
black hole (CDBH) found by Chan, Horne and Mann (CHM), and described with an
action which emerges in the low-energy limit of the string theory. A CDBH is
neither asymptotically flat (AF) nor non-asymptotically flat (NAF) spacetime.
Depending on the value of its dilaton parameter "a", it has both Schwarzschild
and linear dilaton black hole (LDBH) limits. We compute the complex frequencies
of the quasinormal modes (QNMs) of the CDBH by considering small perturbations
around its horizon. By using the highly damped QNMs in the process prescribed
by Maggiore, we obtain the quantum entropy and area spectra of these BHs.
Although the QNM frequencies are tuned by "a", we show that the quantum spectra
do not depend on "a", and they are equally spaced. On the other hand, the
obtained value of undetermined dimensionless constant {\epsilon} is the double
of Bekenstein's result. The possible reason of this discrepancy is also
discussed.
