Activity 3.7 The Diameter of Spheres

Slides:



Advertisements
Similar presentations
Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
Advertisements

Logarithms ISP 121.
Warm-Up. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For.
Properties of Logarithms
Properties of Logarithms
8/2/2013 Logarithms 1 = 2 log a x Properties of Logarithms Examples 1. log a x 2 = log a (x x) Coincidence ? log b x r = r log b x Power Rule for Logarithms.
WARM - UP. SOLVING EXPONENTIAL & LOGARITHMIC FUNCTIONS SECTION 3.4.
Warmup Alg 2 22 Mar Agenda Don't forget about resources on mrwaddell.net Assignment from last class period Sect 7.5: Properties of logarithms.
Exponential and Logarithmic Equations Lesson 5.6.
7.6 – Solve Exponential and Log Equations
Example 6 Solution of Exponential Equations Chapter 5.3 Solve the following exponential equations: a. b.  2009 PBLPathways.
Logarithmic and Exponential Equations
Logarithmic Functions
The answer to exponential questions. How many times do I need to multiply 1 by 2 to get 64? Try this on your calculator and write an equation that gives.
Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.
Solving Exponential and Logarithmic Equations Section 8.6.
Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 9-1 Exponential and Logarithmic Functions Chapter 9.
Logarithms of Products
Section 11-4 Logarithmic Functions. Vocabulary Logarithm – y is called this in the function Logarithmic Function – The inverse of the exponential function.
8.4 Logarithms 3/ 14 /2014. Introduction to Logarithm Video
Skill 17: Solving Logarithmic and Exponential Equations.
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
Jeopardy $100 Facts About Logarithms Exponentials to Logs Evaluating Logs Expanding Logs Condensing Logs $200 $300 $400 $300 $200 $100 $400 $300 $200 $100.
5.3 Intro to Logarithms 2/27/2013. Definition of a Logarithmic Function For y > 0 and b > 0, b ≠ 1, log b y = x if and only if b x = y Note: Logarithmic.
Exponential and Logarithmic Functions.
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
Solving Logarithmic Equations
Converting between log form and exponential form.
6.1 Laws of Exponents.
Exponential and Logarithmic Equations
3.3 Day 1 Properties of logarithms –Use the product rule. –Use the quotient rule. –Use the power rule. –Expand logarithmic expressions. Pg. 407 # 2-36.
Property of Logarithms If x > 0, y > 0, a > 0, and a ≠ 1, then x = y if and only if log a x = log a y.
Exponents – Logarithms xy -31/8 -2¼ ½ xy 1/8-3 ¼-2 ½ The function on the right is the inverse of the function on the left.
Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form.
Lesson 10.2Logarithmic Functions Logarithm: Inverse of exponential functions. “log base 2 of 6” Ex: Domain: x>0 Range: all real numbers Inverse of exponential.
Jeopardy $100 Facts About Logarithms Exponentials to Logs Evaluating Logs Expanding Logs Condensing Logs $200 $300 $200 $100 $300 $200 $100 $400 $300 $200.
Derivatives of Exponential and Logarithmic Functions
Activity 3.10 The Elastic Ball. Read page 370 and use your graphing calculator to make a scatter plot –Use the function they give you in 4 to answer question.
Exponential and log graphs Logarithms Identify all the graphs in the diagrams below. (2,16) (0,1) 0 y x  (3,125) 0 y x (0,1)  0 y 1 (4,16) x  0 y.
Logarithmic Functions Algebra 2 Unit 2: Exponential and Logarithmic Functions.
DIVISION PROPERTIES OF EXPONENTS DIVISION PROERTIES OF EXPONENTS.
8.4 Logarithmic Functions 4/8/2013. Definition of a Logarithmic Function log b n = p is equivalent to b p = n (logarithmic form) (exponential form)
Bellwork Solve. 1) Find the final amount of a $800 investment after 5 years at 3.7% interest compounded monthly. Tell whether each function represents.
Goals:  Understand logarithms as the inverse of exponents  Convert between exponential and logarithmic forms  Evaluate logarithmic functions.
Expanded, Exponent, and Standard Form
6.1 - Logarithmic Functions
Solving Exponential and Logarithmic Equations
You are a winner on a TV show. Which prize would you choose? Explain.
Logarithmic Functions and Their Graphs
Logs – Solve USING EXPONENTIATION
U6D7 Assignment, red pen, pencil, highlighter, textbook, GP notebook
Logarithmic Properties
Homework Questions?.
Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Equations
Logarithmic Functions
Solving Exponential & logarithmic Equations
Exponential Functions & Introduction to Logarithmic Functions
Logarithmic and Exponential Equations
Solve for x: log3x– log3(x2 – 8) = log38x
Logarithmic Functions & Their Graphs
Logarithmic and Exponential Equations
3.4 Exponential and Logarithmic Equations
Exponential and Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Functions
6.1 - Logarithmic Functions
Warm-up: Solve for x: CW: Practice Log Quiz HW: QUIZ Review 3.1 – 3.4.
Logarithmic Functions
Presentation transcript:

Activity 3.7 The Diameter of Spheres

Read page 345 and answer questions 1-4 in your groups A common logarithm is the exponent that ten must be raised to in order to get 10y In other words Try problems 5 and 6 in your groups We will do a and b for each one together

Read example 3 on page 348 and do problems 7, 8, and 9 Be sure to make note of the properties listed on page 349 The natural logarithm (or natural log) is used when the base is the number e It has all the same properties of logarithms Is used often because e is the natural base used in many exponential functions Read example 4 on page 349 and complete problem 10 in your groups Read the next paragraph and look at example 5 Complete problem 11 (we will do a and b together) If you finish early do problems 12 and 13