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Welcome to Week 6 Lecture 4 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 build on the properties of logarithmic functions. We revisit the inverse relationship between logarithmic and exponential functions, review conditions for logarithms, and identify key points on their graphs. The main focus is introducing and proving the fundamental laws of logarithms: product rule, quotient rule, reciprocal rule, and power rule. These rules, essential to the invention of logarithms, simplify complex calculations and form a cornerstone of algebraic problem-solving. Practical examples are worked out to illustrate their use. 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 #exponentialfunctions #propertiesoflogarithms #lawsoflogarithms #productrule #quotientrule #reciprocalrule #powerrule #mathematics #algebra #inversefunctions #napier #datasciencemath #iitmadras #onlinestudy
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