\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

Simplify or manipulate expressions involving polynomial, radical, exponential, or logarithmic terms using appropriate properties and rules Use numeric or variable substitution while working with ...

Abstract. For f analytic and close to convex in D = {z : |z| < 1}, we give sharp estimates for the logarithmic coefficients γn of f defined by log f ( z ) z = 2 ∑ n = 1 ∞ γ n z n when n = 1, 2, 3.

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

This study is an attempt to analyze students' construction of function based problem solving methods in introductory algebra. It claims that for functions to be a main concept for learning school ...