W6_L7: Logarithmic equations – solving & applications

Welcome to Week 6 Lecture 7 of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview In this lecture, we focus on solving equations involving logarithmic functions and their applications. We begin by plotting logarithmic functions with different bases using the change-of-base formula. Then, we prove logarithmic inequalities through exponentiation and work through equations with both same and different bases, including more complex forms. Careful attention is given to verifying solutions to ensure they lie within the domain of the logarithmic function. We also address ambiguous equations where multiple solution paths may appear. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #logarithms #logarithmicfunctions #solvingequations #changeofbase #exponentiation #inequalities #graphing #commonlogarithm #naturallogarithm #ln #logequations #mathematics #math #datasciencemath #iitmadras #onlinestudy