Logarithms 101
Presentation
•
Mathematics
•
11th Grade
•
Medium
Nylah White-Logan
Used 1+ times
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7 Slides • 9 Questions
1
YAYY Its Logarithms!!
Logarithms are the inverse of exponents. A logarithm (or log) is the mathematical expression used to find the amount of times must a number (base) be raised in order to reach a certain number
logarithmic form is logb a = x
exponential form is bx = a
2
logb 1 = 0 logb b = 1
3
Fill in the Blanks
Logarithms are the
4
A natural logarithm is a logarithm that has an e base. We use the ln when we are trying to find the log with a base of e.
Natural logarithm
A logarithm with a base of 10 is called a common logarithm and doesn't have to be written with the base.
Common logarithm
log 10 x
log e x
5
Draw
Draw the logarithmic form of 2-1 = 21
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Product property is when the product is the logarithm could be separated into addition using the factors of the previous logarithms. This property says that the logarithm of a product is the sum of the logarithms of its factors.
7
Multiple Choice
Using the Product Property, Expand Log3 (20)
log3 (4) + log3 (5)
log3 (4) + log3 (5)
log3 (4) - log3 (5)
log3 (4) - log3 (5)
8
Quotient property is when… this property says that the logarithm of a quotient is equal to the difference of the logarithms numerator and denominator.
Log6 80/16
Log6 (80) - Log6 (16)
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Fill in the Blanks
In the Quotient Property Rule, the logarithm of a quotient is equal to the difference of the
Type answer...
10
Multiple Choice
Expand this logarithm.
A
C
D
B
11
Power property is when the logarithm expression changes around without changing the numbers. This property says that the logarithm of a power is equal to the product of the logarithm and the exponent.
loga mx = X loga m
log5 52 = 2 log5 5
log8 x6 = 6 log8 x
12
Multiple Choice
Expand: Log7 32x
Log7 (3)x + Log7 (1)x
2x Log7 (3)
3 Log7 (2x)
Log7 3 = 0
13
Multiple Choice
What is the logarithmic form of 3−4=811
Log3 (1/81) =-4
Log-4 3 = 1/81
Log3 (1) - Log3 (81)
Log3 (81)-4
14
Multiple Choice
True or False?
True
False
15
Nylah White-Logan
16
Poll
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YAYY Its Logarithms!!
Logarithms are the inverse of exponents. A logarithm (or log) is the mathematical expression used to find the amount of times must a number (base) be raised in order to reach a certain number
logarithmic form is logb a = x
exponential form is bx = a
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