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Sub-topics: 12.1 Review of index laws, and definition of a^r for a > 0, where r is rational. (0) 12.2 Definition of logarithm to the base a. Algebraic properties of logarithms and exponents. (0) 12.3 The functions y = a^x and y = log_ax for a > 0 and real x. Change of base. (0) 12.4 The derivatives of y = a^x and y = log_ax. Natural logarithms and exponential function. (0) 12.5 Differentiation and integration of simple composite functions involving exponentials and… (0)