Mathematics - Lecture 19: Logarithms: Properties and equations involving them. The main contents of the chapter consist of the following: Properties of logarithms, equations involving logarithmic expressions. | Logarithms: Properties and Equations involving them Institute of Mathematics, University of the Philippines-Diliman Lecture 20 (iMath-UPD) Logarithms Lec. 20 1 / 23 Outline 1 Properties of Logarithms 2 Equations involving Logarithmic Expressions (iMath-UPD) Logarithms Lec. 20 2 / 23 Logarithm of a Product Let x, y > 0, b > 0, b = 1. Let m = logb x and n = logb y. (iMath-UPD) Logarithms Lec. 20 3 / 23 Logarithm of a Product Let x, y > 0, b > 0, b = 1. Let m = logb x and n = logb y. Then x = bm and y = bm . (iMath-UPD) Logarithms Lec. 20 3 / 23 Logarithm of a Product Let x, y > 0, b > 0, b = 1. Let m = logb x and n = logb y. Then x = bm and y = bm .Thus, (iMath-UPD) Logarithms Lec. 20 3 / .