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Welcome to Week 6 Lecture 3 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 This lecture provides a practical guide to solving exponential equations using logarithms. We emphasize the key property: log_(a_) = x. Through worked examples, we demonstrate how logarithms can simplify equations and isolate the variable x. The lecture covers equations solvable by inspection, quadratic-form equations, and situations requiring graphical solutions. We also discuss why it is essential to check and verify solutions to avoid infeasible results. 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 #exponentialequations #logarithms #solvingequations #algebra #mathematics #logarithmicproperties #quadraticform #graphicalsolutions #naturallogarithm #commonlogarithm #functions #calculus #maths #desmos #tutorial #lecture #education #onlinestudy #datasciencemath #iitmadras
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