Homework Check.

Slides:

Advertisements

Similar presentations

Warm Up: Simplify the Expression. Then State briefly how to simplify the exponents

Advertisements

Let’s go over the homework!. DAILY CHECK Day 2 – Convert Logs to Exponentials, vice versa and Solve using one to one property.

Laws (Properties) of Logarithms

Unit 11: Logarithms, day 3 3 properties to Expand and Condense Logarithmic Expressions.

Properties of Logarithms

Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.

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”

Use mental math to evaluate.

7.1/7.2 Nth Roots and Rational Exponents

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”

CHAPTER logarithmic functions. objectives Write equivalent forms for exponential and logarithmic functions. Write, evaluate, and graph logarithmic.

Warm-up 1. Convert the following log & exponential equations 1. Convert the following log & exponential equations Log equationExponential Equation Log.

Quiz 1) Convert log 2 4 = x into exponential form 2) Convert 3 y = 9 into logarithmic form 3) Graph y = log 4 x 2 x = 4 log 3 9 = y y = log 4 x.

CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:

Jeopardy 100 Condense Expand Simplify Solve Exponential Solve Logs 500.

Warm-Up 4/30 Answer: $62, $60, Logarithmic Functions  The inverse of y = b x is _______  The function x = b y is called a___________.

6.5 - Properties of Logarithms Objective: TSW Apply the properties of logarithms.

5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Unit 5: Properties of Logarithms MEMORIZE THEM!!! Exponential Reasoning [1] [2] [3] [4] Cannot take logs of negative number [3b]

Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.

Unit 5: Logarithmic Functions

Objectives: Be able to identify the properties of logarithms.

1) Write in exponential form. log 27 9 = x 3) Evaluate. Warm-Up 2) Write in logarithmic form. 5 x = ) Write the Equation that models this situation:

EXPANDING AND CONDENSING LOGARITHMS PROPERTIES OF LOGARITHMS Product Property: Quotient Property: Power Property: PROPERTIES OF LOGARITHMS.

Properties of Logarithms Section 8.5. WHAT YOU WILL LEARN: 1.How to use the properties of logarithms to simplify and evaluate expressions.

You’ve gotten good at solving exponential equations with logs… … but how would you handle something like this?

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.

5.4 Properties of Logarithms 3/1/2013

Trash-ket Ball Chapter 7 Exponents and Logarithms.

Converting between log form and exponential form.

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.

Exponential Function An exponential function with base b and exponent x is defined by Ex. Domain: All reals Range: y > 0 (0,1) x y.

Logarithmic Properties Exponential Function y = b x Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form.

Unit 5: Logarithmic Functions Inverse of exponential functions. “log base 2 of 6” Ex 1: Domain: all real numbers Range: y > 0 “log base b of x” Domain:

Jeopardy $100 Facts About Logarithms Exponentials to Logs Evaluating Logs Expanding Logs Condensing Logs $200 $300 $200 $100 $300 $200 $100 $400 $300 $200.

5.5 Evaluating Logarithms 3/6/2013. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property.

Logarithms Common Logarithms Integer Logarithms Negative Logarithms Log of a Product Log of a Quotient Log of an Exponential Natural Logarithms.

Expanding and Condensing Logarithms Product Property.

WECHS 10 th Grade Math December 16, 2010 Test December 17.

10.5 Properties of Logarithms. Remember…

8.5 Properties of Logarithms 3/21/2014. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property.

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)

4.3 Rational Exponents 2/1/2013. Cube Root Perfect Cube 1 = = = = = 5 3.

6.1 - Logarithmic Functions

The Product Property Definition: The log of a product can be expanded into the SUM of the logs of the factors logb mn = logb m + logb n (EXPANDING) EX:

Expanding and Condensing Logarithms

Use properties of logarithms

Properties of Logarithms

Intro to Logarithms (start taking notes).

Day 96 – Exponential Rules review

Ch 3.3: Properties of Logarithms

Logarithmic Functions

6.1 Nth Roots and Rational Exponents

7.5a - Properties of Logarithms

5A.1 - Logarithmic Functions

Exponential and Logarithmic Functions

Warm Up multiplication exponents base multiply power power multiply

Good afternoon Happy Thursday!!! Warm UP:

Warm-Up: Graph the logarithmic function and exponential function then state the domain and range for each. D: x-int: R: y-int: HA: D: x-int: R: y-int:

Homework Check.

Day 96 – Exponential Rules review

WARM UP ..….. Expand each log32x6y A. B. C..

7-4 Division Properties of Exponents

6.1 - Logarithmic Functions

Homework Check.

Using Properties of Logarithms

WARM UP ..….. Expand each log32x6y A. B. C..

Warm-up Write about your thanksgiving break in 4 to 6 sentences.

Logarithmic Functions

Presentation transcript:

Homework Check

SKILL CHECK Day 2 – Convert Logs to Exponentials, vice versa and Solve using one to one property

Daily Question: How do you expand logarithms? 6.2 Expanding Logs Daily Question: How do you expand logarithms?

Properties of Logarithms Product Property Quotient Property Power Property

Strategies when expanding logarithms Change radicals to rational (fraction) exponents. Expand the multiplication and/or division Move the exponent(s) LAST

Expand. 3. log105x3y

Expand.

Ex. 7 Expand.

Use and to evaluate the logarithm. Ex. 8 Use and to evaluate the logarithm.

Questions??

Strategies for condensing logarithms If there is a number in front of the log, move it back to an exponent FIRST. Write fraction exponents as radicals. If there is a number raised to a power, simplify. Condense addition back to multiplication and subtraction back to division. The final answer will have log written only ONCE and will have no fractions as exponents.

EXAMPLE #1

EXAMPLE #2 EXAMPLE #3

EXAMPLE #4 EXAMPLE #5

WS - #1-30 ALL Homework