MATH 275 Lecture 20: Yousry Elsabourty's Week 7 Day 2, Fall 2016
27 Oct 2016
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Objectives: the natural number e definition and properties. Firstly, continuing from day 1 we will put together a logarithm. Given: = 2" 1 " 3 + 4 + Apply l1, l2, l3 in reverse and solve in one line to produce: Definition: an equation involving logarithms of unknowns is called a logarithmic equation. To solve a logarithmic equation, we may proceed as follows: express each side as a single log, express the equation in exponential form, check values found for possible rejection. Solve for x in 3 2 7 = 2. Check (2(8)-7) must be greater than zero based on the standard logarithm graph and it is so we accept. Solve for x in 2" 1 " 3 + 4 = 1. Multiply (3x+4) over and move all unknown to one side. Definition: the natural number is denoted and defined by. = 8 where the base is e has the same properties as exponential functions.
