situation an effective local quantum field theory will give a good approximate description [@f13]. The holographic DE was first proposed in [@f14] following the line of [@f13] where the infrared cutoff is taken to be the size of event horizon for DE. The problem of cosmic coincidence can be resolved by the inflationary paradigm with minimal e-foldings in this model. Later this holographic DE was studied in detail by many authors [@f15; @f16; @f17; @f18; @f19; @f20; @f21; @f22; @f23; @f24]. Clearly it can be mentioned that black hole entropy bound played an important role in the interpretation of holographic dark energy model. Various theories of quantum gravity (e.g., [@my25; @my26; @my27; @my28; @my29; @my30; @my31]) have predicted the following form for the entropy of a black hole: $$S = \frac{A}{4l_p^2} + c_0 \ln \left( \frac{A}{4l_p^2} \right) + const.$$ $c_0$ is a model dependent parameter and $l_p$ is the Planck length. Many researchers have expressed a vested interest in fixing $c_0$ (the coefficient of the subleading logarithmic term) [@my25]. Recent rigorous calculations of loop quantum gravity predicts the value of $c_0$ to be -1/2 [@my31]. A entropy corrected holographic DE model (ECHDE) was proposed recently in [@f48] where the inflation 