Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a power. {image} Choose the correct answer from the following.

Slides:

Advertisements

Similar presentations

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.

Advertisements

Laws (Properties) of Logarithms

1)Be able to apply the quotient of powers property. 2)Be able to apply the power of a quotient property. 3)Be able to apply the multiplication properties.

Integers: Multiplication & Division

Sec 4.3 Laws of Logarithms Objective:

Properties of Logarithms Section 6.5 Beginning on page 327.

Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

Evaluate the following: Recall: a logarithm is an exponent. So in each case, we are looking for the exponent of 2 to get a number. In the first example,

PRODUCT QUOTIENT POWER y = log b x Rewrite each expression as a single logarithm 1. log 8 18 – log 8 6 log 8 log 8 3 Note we are simplifying not solving.

Choose an image START MORE DINOSAURS REVEAL ANSWER THE SUM WOULD BE WRITTEN LIKE THIS.

Notes Over 8.5 Properties of Logarithms Product Property Quotient Property Power Property.

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

quotient is x + 6 and remainder is quotient is x.

The inverse function of an Exponential functions is a log function. The inverse function of an Exponential functions is a log function. Domain: Range:

3.3 Day 2 Condensing Logarithmic Expressions The Change of Base Property Pg. 408 # even, even.

4.3 Laws of Logarithms. 2 Laws of Logarithms  Just like the rules for exponents there are corresponding rules for logs that allow you to rewrite the.

Introduction to Logarithms Chapter 8.4. Logarithmic Functions log b y = x if and only if b x = y.

Algebra 2 Notes May 4,  Graph the following equation:  What equation is that log function an inverse of? ◦ Step 1: Use a table to graph the exponential.

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.

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.

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.

Derivatives of Logarithmic Functions Objective: Obtain derivative formulas for logs.

Aim: What are the properties of logarithms? Do Now: Rewrite the following exponential form into log form 1.b x = A 2.b y = B HW:p.331 # 16,18,20,22,24,26,28,38,40,42,48,52.

Lesson 3.3 Read: Pages Handout #1-49 (ODD), (EOO), (ODD), (EOO)

Find the solution of the exponential equation, correct to four decimal places. e x =

Lesson 10.3 Properties of Logarithms

MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents.

Use the Table of Integrals to evaluate the integral

8-4 Properties of Logarithms

7.5 – Properties of Logarithms

What is the average rate of change of the function f (x) = 8 x - 7 between x = 6 and x = 7? Select the correct answer:

Express the following rule in function notation: “subtract 4, then divide by 5”. Select the correct answer: {image}

Evaluate the expression ( i) + ( i) and write the result in the form a + bi. Choose the answer from the following: i i i.

Write the form of the partial fraction decomposition of the function

Express the equation {image} in exponential form

Evaluate the expression by sketching a triangle

Which of the following graphs is the graph of the derivative of the function {image} . 1. {applet}

Use an addition or subtraction formula to find the exact value of the expression: {image} Select the correct answer: {image}

Use Pascal’s triangle to expand the expression (3 x - 2 y) 3

Sketch the graph of the function {image} Choose the correct answer from the following. {applet}

Express the given quantity as a single logarithm: {image} Choose the answer from the following: ln 515 ln 514 ln 509 ln 513 ln 503 ln

Given that, {image} {image} Evaluate the limit: {image} Choose the correct answer from the following: {image}

Find 4 A + 2 B if {image} and {image} Select the correct answer.

Find sin 2x, cos 2x, and tan 2x from the given information: {image} Select the correct answer:

Consider the function {image} and find the value of {image} Choose the correct answer from the following:

Logarithmic and exponential equations

For x = -1, determine whether f is continuous from the right, or from the left, or neither. {image}

For x = 5, determine whether f is continuous from the right, or from the left, or neither. {image}

Find the 300th term of the sequence an = 3 Select the correct answer.

Algebraic Expressions

Find the reference angle for the angle measuring {image}

Evaluate the limit: {image} Choose the correct answer from the following:

Evaluating Expressions

Perform the indicated operations and simplify: {image} Select the correct answer

Simplify the expression: {image} Select the correct answer.

Find the Jacobian of the transformation

Differentiate the function: {image}

Is the statement below true or false

Determine the graph of the given function. {image}

Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.

Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}

If {image} , then if {image} exists, to what value does it converge

Using Properties of Logarithms

Use the Chain Rule to find {image} where t = 5, u = 3, v = 0. {image}

For vectors {image} , find u + v. Select the correct answer:

Logarithmic and exponential equations

Which of the following expressions is the equation of the function {image} {applet}

Warm Up Simplify each expression 1. log24 + log28 2. log39 – log327

Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:

Presentation transcript:

Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a power. {image} Choose the correct answer from the following : {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product, quotient or power. {image} Choose the correct answer from the following : {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Rewrite the expression below as a single logarithm Rewrite the expression below as a single logarithm. {image} Choose the correct answer from the following : {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50