Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) • Rules of find lob of a product, quotient •Apply the law of logarithm concerning products and quotients. Group work (20 min)
Do now:
3 Solve for b log b125 = 2 3 b 2 =125
Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
b
3 2 • 2 3
= 125
2 3
b = 25
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions?
Once again
Do now (5min) Mini-lesson (15 min)
log b A =c
• Rules of find lob of a product, quotient •Apply the law of logarithm concerning products and quotients.
Exponent
Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
Answer
Base
• Example:
52 = 25 can be written as log 5 25 = 2
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) • Rules of find lob of a product, quotient •Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
• Today we will continue with logarithms and we have more properties to learn. • Properties of Logarithms log b MN = log b M + log b N product property log b
M = log b M − log b N Quotient property N
log b M k =k log b M Power property
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions?
• Examples: Do now (5min)
Mini-lesson min) logarithmic expression as a single logarithm. 1. Write(15each • Rules of find lob of a product, quotient
•Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
a. log 3 20 − log 3 4
log 3
20 = log 3 5 4
b. 3 log 2 x +log 2 y log 2 x +log 2 y 3
3
log 2 ( x y )
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions?
• Examples • Expand each logarithm log a. Do now (5min)
Mini-lesson (15 min)
• Rules of find lob of a product, quotient
•Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26
b.
Summary Homework P328/18. 19, 27
5
x y
log 5 x − log 5 y < − Quotient property
log 3r
4
log 3 + log r 4 <-- product property
log 3 + 4 log r <-- power property
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) • Rules of find lob of a product, quotient •Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
5. log 5
r s
• Exercises • State the property or properties used to rewrite each expression product 1. Log 4 + log 5 = log 20
2. log 3 32 − log 3 8 = log 3 4 Quotient
Write each logarithmic expression as a single logarithm. log14 3. Log 7 + log 2 4 m 4. 4 log m – log n log Expand each n 3
6.log x y
5
a 2b3 7. log c4
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) â&#x20AC;˘ Rules of find lob of a product, quotient â&#x20AC;˘Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) â&#x20AC;˘ Rules of find lob of a product, quotient â&#x20AC;˘Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27
Topic: Logarithms Aim: How can we use the properties of logarithms to rewrite logarithmic expressions? Do now (5min) Mini-lesson (15 min) â&#x20AC;˘ Rules of find lob of a product, quotient â&#x20AC;˘Apply the law of logarithm concerning products and quotients. Group work (20 min) Redbook p798/17. 18, 23, 24, 25, 26 Summary Homework P328/18. 19, 27