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Welcome to Week 9 Tutorial 6 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 tutorial, we solve a logarithmic equation that involves exponents and different bases. The problem requires finding the roots of an equation where the variable x appears in a complex power with logarithms. Using a smart substitution technique, we simplify the expression into a polynomial form, which can then be factored to determine the solutions. The method combines logarithmic properties, algebraic manipulation, and polynomial factorization to arrive at the final set of values for x. 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 #logarithmicEquation #rootsOfEquation #algebra #mathematics #problemSolving #equationSolving #logarithms #exponentSolving #polynomialFactoring #hitAndTrialMethod #datasciencemath #iitmadras #onlinestudy
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