This document presents a project proposal to study the log-normal flux distribution of blazars in the high energy regime. The project aims to understand the micro-physical origin of variability in blazars and particle acceleration dynamics. It provides background on active galactic nuclei (AGN) and their structure, including supermassive black holes, accretion disks, broad and narrow line regions, and molecular tori. It describes blazars as a class of AGN with relativistic jets pointed toward Earth. The computational methodology involves analyzing flux versus count data from RXTE to determine if a log-normal fit better describes the distribution than a normal Gaussian. References are provided on blazar properties, previous studies of log-normal flux