PPT-EXPONENTS AND LOGARITHMS

e e is a mathematical constant 271828 Commonly used as a base in exponential and logarithmic functions exponential function e x natural logrithm log e x or . Logarithms Logarithmsappearinallsortsofcalculationsinengineeringandscience,businessandeconomics.Beforethedaysofcalculatorstheywereusedtoassistintheprocessofmultiplicationbyreplacingtheoperationofmulti . Why do we need to know this stuff?. Base 10. Natural log. e. Richter scale. Ph. levels. Compound interest. Newton’s Law of Cooling. Earthquakes. earth·quake. (. ûrth. kw k) n. A sudden movement of the earth's crust caused by the release of stress accumulated along geologic faults or by volcanic activity.. By Monica Yuskaitis. Location of Exponent. An exponent is a little number high and to the right of a regular or base number.. 3. 4. Base. Exponent. Definition of Exponent. An exponent tells how many times a number is multiplied by itself. . Ope Exponents and Radicals: Practice Exercises Simplify the following as much as poss Thus the definition of a logarithm is: logb A = n if and only if bn = A. The base used for logs can vary 2. Review Multiplication Properties of Exponents. Product of Powers Property. —To . multiply. powers that have the . same base. , . ADD. the exponents.. Power of a Power Property. —To find a . power of a power. Likewise, 5 · 5 · 5 · 5 = 5. 4. , because there are . four. 5’s being multiplied together.. Power. – a number produced by raising a base to an exponent. (the term . 2. 7. is called a . power. 2/14/17. How do we define exponentiation?. What are properties of exponents?. Today We’ll Discuss. We have traversed the land of the four basic operations (+, −, •, ÷) and discovered new territory.. Exponential Notation. Negative Exponents. Vocabulary. Monomial-”One Term” consisting of numbers and variables. . Monomials: x. 2. , 5, 3xy, 5x. 5. y. 2. Not Monomials: . x y. , 2x. 2. – 3x 2, 4x. By . Christine. When in . doubt. , . write. it . out. ! . It’s just repeated multiplication!. contents. What’s a power?........................................................................................................... . Wallace. What is a monomial?. Mono means . one.. A . monomial. . is an expression that is a number, a variable, or . the . product of a . number . and one or more variables. .. Examples: . 12 . . Assignment #38. Worksheet, no . book assignment. Common Logarithm. How many fingers do we (normally) have?. What happens after the number 9?. What happens after the number 99?. Why is it easier to multiply by 100 that by 99 even though 99 is a smaller number?. Section 6.5 Beginning on page 327. Properties. Because logarithms are the inverse functions of the exponential functions, properties of logarithms are similar to properties of exponents. . Product Property:. Exponential and Logarithmic Functions. Standard 24: Create exponential equations in a modeling context. Growth. Decay. Compound Interest. Standard 25: Utilize the properties of exponents to simplify expressions.. The next thing we want to do is talk about some of the properties that are inherent to logarithms. Properties of Logarithms 1. log a (uv) = log a u + log a v 1. ln(uv) = ln u +