42: Properties of Logarithmsmathmanmyrup.weebly.com/uploads/3/7/5/1/37512225/4-2_properties_… ·...

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42 Properties of Logarithms PRINT Filled In.notebook November 03, 2017 Jan 2610:19 AM 42: Properties of Logarithms I can understand the properties of logarithms and use them to simplify logs. I can apply multiple properties to a single logarithm. Jan 2612:07 PM Find the value of each logarithm without using a calculator. 1. 2. 3. 4. Jan 2612:13 PM Evaluate Jan 2612:14 PM Evaluate the logarithm: 1. 2. Without evaluating, predict what the following logs equal: 3. 4.

Transcript of 42: Properties of Logarithmsmathmanmyrup.weebly.com/uploads/3/7/5/1/37512225/4-2_properties_… ·...

Page 1: 42: Properties of Logarithmsmathmanmyrup.weebly.com/uploads/3/7/5/1/37512225/4-2_properties_… · 42 Properties of Logarithms PRINT Filled In.notebook November 03, 2017 Jan 2612:27

4­2 Properties of Logarithms PRINT Filled In.notebook November 03, 2017

Jan 26­10:19 AM

4­2: Properties of Logarithms

I can understand the properties of logarithms and use them to simplify logs.

I can apply multiple properties to a single logarithm.

Jan 26­12:07 PM

Find the value of each logarithm without using a calculator.

1.

2.

3.

4. 

Jan 26­12:13 PM

Evaluate

Jan 26­12:14 PM

Evaluate the logarithm:

1.

2.  

Without evaluating, predict what the following logs equal:

3. 

4. 

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4­2 Properties of Logarithms PRINT Filled In.notebook November 03, 2017

Jan 26­12:23 PM

Inverse Property of LogarithmsIf    and     are positive real numbers, with          , then

Evaluate

Jan 26­12:24 PM

How would we write the following exponential as a log?

Recall: 

Jan 26­12:26 PM

Inverse Property of LogarithmsIf    and     are positive real numbers, with          , then

Evaluate

Jan 26­12:26 PM

Exponent Rules Review

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4­2 Properties of Logarithms PRINT Filled In.notebook November 03, 2017

Jan 26­12:27 PM

Product Rule of LogarithmsIf     ,     and     are positive real numbers, with          , then

Which exponent rule is this similar to? 

Why would we want to be able to split up a logarithm?

Jan 27­1:39 PM

Write each of the following logarithms as the sum of logarithms.

Jan 27­1:40 PM

How do you predict we would write the following logarithm as two logarithms?

Jan 27­1:42 PM

Quotient Rule of LogarithmsIf     ,     and     are positive real numbers, with          , then

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4­2 Properties of Logarithms PRINT Filled In.notebook November 03, 2017

Jan 27­1:44 PM

Write the following as the sum or difference of logarithms.

Jan 27­1:44 PM

Show that the following logs are equal:

Jan 27­1:49 PM

Power Rule of LogarithmsIf       and     are positive real numbers, with          , then

Use the power Rule of Logarithms to express all powers as factors.

Jan 27­1:49 PM

Expand the logarithm. 

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4­2 Properties of Logarithms PRINT Filled In.notebook November 03, 2017

Jan 27­1:55 PM

Write each of the following as a single logarithm.

Jan 27­1:59 PM

How do we evaluate logs in a calculator??

Change of Base Formula

which means:

Jan 27­2:00 PM

Use your calculator to approximate the following:

Feb 3­10:33 AM