Bell ringer 2-13-18 The Johnson’s started a savings account for their son. They invested $5,000 in an account with a 7.5% interest rate that compounds.

Slides:



Advertisements
Similar presentations
MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function 
Advertisements

LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”
BELL RINGER (IN MATH JOURNAL) What are the laws of exponents? 1. x m x n = 2. x m = x n 3. (xy) n = 4. (x) n = (y) 5. x –n = 6. x 0 = 7. (x m ) n =
Warm – Up Practice worksheet 3.1 Practice identifying and using the correct formula which is necessary to solve a problem Compound Interests and Annuities.
Section 3.2 Logarithmic Functions. The Logarithmic Function.
Chapter 11 Section 11.1 – 11.7 Review. Chapter 11.1 – 11.4 Pretest Evaluate each expression 1. (⅔) -4 = ___________2. (27) - ⅔ = __________ 3. (3x 2 y.
5.5Logarithms Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms.
2 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Section 2.4 Exponential Functions Warm-up: Page 78 #62 How are Exponential & Logarithmic Functions.
NATURAL LOGARITHMS. The Constant: e e is a constant very similar to π. Π = … e = … Because it is a fixed number we can find e 2.
5.5Logarithms. Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary:
BELL RINGER Write, in paragraph form, everything you remember about logarithmic and exponential functions including how to convert, solve logarithmic equations,
Find the inverse of each logarithm or exponential. Show work REVIEW Examples Finding Inverses of Logarithms and Exponentials.
3.3 Logarithmic Functions and Their Graphs
Bell Ringer 1. What is a function? 2. What “test” can you use to determine if a graph is a function? 3. What is domain? 4. What is range?
In order to save for college, you invested your summer savings of $2,000 into an account at the bank. The interest rate is 3.2% and the interest is compounded.
BELL RINGER  1. How do you convert from a logarithm to an exponential?  2. What are the properties of logarithms that come from the laws of exponents?
Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.
Bell Ringer. Multiplying and Dividing with Complex Numbers Monday, February 29, 2016.
Properties of Logarithm
Aim: What is the logarithms?
Logarithmic Functions
Chapter 5: Inverse, Exponential, and Logarithmic Functions
6.1 - Logarithmic Functions
Logarithmic Functions and Graphs
5 x2 + 4x = Warm-Up Evaluate the compositions if:
Bell ringer Exponential Word Problems 2. Logarithms are found in real life… If you have internet access, google it to see when we use them.
Logarithmic Functions and Their Graphs
Logarithmic and exponential relationships
Section 6.4 Properties of Logarithmic Functions Objectives:
logb AB = logbbx + y Aim: What are the properties of logarithms?
Intro to Logarithms (start taking notes).
Chapter 8 Exponential and Logarithmic Functions
Essential Question: Do you understand what a logarithm is and how to use the calculator to obtain them?
Log Functions Unit 3.
Logarithmic Functions and Their Graphs
Logarithmic Rules.
Logarithmic Functions
Bell ringer Explain how compound interest works. 2. What is “good” compound interest? 3. What is “bad” compound interest? 4. Why should you.
Exponents and Logarithms
Simplifying Logarithms
Bell Ringer What is the Compound Interest formula?
Essential Question: How do I graph & solve exponential and logarithmic functions? Daily Question: What are the properties of logarithms and how do I use.
Simplifying Logarithms
Bell Ringer (in Math Journal)
5A.1 - Logarithmic Functions
Bell Ringer 1. Why is an absolute value function a piecewise function?
Natural Logarithms - Differentiation
Exponential and Logarithmic Functions
Objectives Write equivalent forms for exponential and logarithmic functions. Write, evaluate, and graph logarithmic functions.
8-3 Logarithmic Functions as Inverses
Logarithmic Functions
Bell Ringer What is a function?
Logarithmic Functions
bell ringer How do you “convert”?
Bell Ringer What is a function?
2. What “test” can you use to determine if a graph is a function?
Warm Up – 4/23 - Wednesday 1. Sketch the following function and state the range.
4 minutes Warm-Up Write each expression as a single logarithm. Then simplify, if possible. 1) log6 6 + log6 30 – log6 5 2) log6 5x + 3(log6 x – log6.
6.1 - Logarithmic Functions
Logarithmic Functions
4.3 Use Functions Involving e
Compounded and Continuous Interest
Bell Ringer In elementary school, you learned long division. Describe, in detail, how to divide 230 by 4 without a calculator.
6.3 Logarithmic Functions
Lesson 64 Using logarithms.
Exponential and Logarithmic Functions
Bell Ringer What is the Compound Interest formula?
Bell Ringer How can you determine inverse functions…
Bell Ringer Why is an absolute value function technically a piecewise function? Explain the “restriction” part of piecewise functions. How do you.
Bell Ringer
Presentation transcript:

Bell ringer 2-13-18 The Johnson’s started a savings account for their son. They invested $5,000 in an account with a 7.5% interest rate that compounds quarterly. How much will they have in the account after 20 years? How much interest will they have earned?

Logarithms Tuesday, February 13, 2018

Graphs Exponential Logarithmic

Inverse

Notes The inverse of an exponential function is a common logarithmic function. Convert from exp. to log  bx = y  logb y = x Convert from log to exp.  logb y = x  bx = y

convert

NOTES Calculators only do log10 aka “common log”, so log is really log base 10. Change of Base  logba = log a logb logb1 = 0 Can’t take  log 0 or log of a negative # Can’t do  log base 0, or 1, or negative #

Change that base

practice Change Base & Convert Classwork Change Base & Convert Homework

Exit Ticket 1. How do you “convert”? 2. How do you “Change Base”? 3. What is the base if it doesn’t say?