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Biblioteka

Discover Properties of Logarithms

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Posljednje ažuriranje about 3 years ago
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Pattern #1

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Pattern #2

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Inverse Property

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Product Property

The product property is used to expand and condense logarithms.

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When expanding or condensing, always keep the base the same. For example:

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Quotient Property

The quotient property is also used to expand and condense logarithms.

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Power Property

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Change of Base Formula

This formula allows us to evaluate logs in the calculator using the LOG button.

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Today you are going to discover:

2 Patterns of Logs

4 Properties of Logs

1 Formula that will help you evaluate Logs in the calculator!

Pitanje 1
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Pitanje 2
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Pitanje 3
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Pitanje 4
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Pitanje 5
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Pitanje 6
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What's the pattern?

Select TWO: the correct "math" and "words" that describe the pattern.

Copy your answers on your paper for Pattern #1.

Pitanje 7
7.

Pitanje 8
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Pitanje 9
9.

Pitanje 10
10.

Pitanje 11
11.

What's the pattern?

Select TWO: the correct "math" and "words" that describe the pattern.

Copy your answers on your paper for Pattern #2.

Pitanje 12
12.

What is the value of x?

Pitanje 13
13.

Pitanje 14
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Pitanje 15
15.

Pitanje 16
16.

Pitanje 17
17.

This one is tricky! It's actually in Exponent form right now, so let's change it into Log form so we can figure out the answer:

What is the answer?

Pitanje 18
18.

Notice a pattern from the previous example so you don't need to write out log form every time.

Pitanje 19
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Pitanje 20
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Pitanje 21
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Same property, but now back to Log form again!

Pitanje 22
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Here's a visual of what's happening in the inverse property:

Pitanje 23
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Pitanje 24
24.

Expand log(15)

*Hint: Any factors of 15 should work.

Pitanje 25
25.

Condense into one logarithm.

*Hint: your answer should only have one number inside the log

Pitanje 26
26.

Expand into 3 separate logs.

Pitanje 27
27.

Condense into one logarithm.

Pitanje 28
28.

Condense into a single logarithm and evaluate.

Hint: your answer should be one number.

Pitanje 29
29.

What is the Product Property?

Select TWO: the correct "math" and correct "words" that describe the property.

Copy your answers on your paper for Product Property.

Pitanje 30
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Pitanje 31
31.

Expand into two logarithms.

Pitanje 32
32.

Condense into one logarithm.

Pitanje 33
33.

What is the Quotient Property?

Select TWO: the correct "math" and correct "words" that describe the property.

Copy your answers on your paper for Quotient Property.

Can you apply the product AND quotient properties in the same problem??

Pitanje 34
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Expand into 3 logarithms.

Remember to keep the base 11 on all of the logs in your answer!

Pitanje 35
35.

Condense into one logarithm.

Pitanje 36
36.

Condense into one logarithm and evaluate.

Your answer should be one number.

Pitanje 37
37.

Condense into one logarithm and evaluate.

Your answer should be one number.

Pitanje 38
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Pitanje 39
39.

Use the power property to expand the logarithm.

Pitanje 40
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Use the power property to expand the logarithm.

Pitanje 41
41.

Use the power property to condense the logarithm.

Pitanje 42
42.

What is the Power Property?

Select TWO: the correct "math" and correct "words" that describe the property.

Copy your answers on your paper for Power Property.

Can you apply the product AND quotient AND power properties in the same problem??

Example for "expand"

Pitanje 43
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Expand.

Pitanje 44
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Expand.

Pitanje 45
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Condense into a single logarithm.

Pitanje 46
46.

Condense into a single logarithm and evaluate.

*Your answer should be one number.

Pitanje 47
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Condense into a single logarithm and evaluate.

*Your answer should be one number.

Pitanje 48
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Condense into a single logarithm and evaluate.

*Your answer should be one number.

Pitanje 49
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Pitanje 50
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What is the Change of Base Formula?

Copy your answer on your paper for Change of Base Formula.

What is the Inverse Property?

Select THREE: two correct "math" examples and one "words" example that describe the property.

Copy your answers on your paper for Inverse Property.