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PMa 12 What is a Logarithm?
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Transcript of PMa 12 What is a Logarithm?
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What is a Logarithm?
C. Hunter
Principles of Math 12
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2log 8 33log 81 4
5log 125 3 6log 36 2
2log 32 5 10log 100 2
What is the relationship between the three numbers?
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logaccb ba
If logab = c, then what is the relationship between the variables?
base exponent
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logbaseanswer = exponent
logbaconand = eggs
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Evaluate and explain.
1. 2.
3. 4.
5. 6.
7.
7log 49 4log 64
2
1log
8
1log10000
3log 1 125log 5
76log 6
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Solve.
1. 2log 6x 62 x Exponential form
64 x
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2. 5
1log
625x
15
625x Exponential form
4x
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3. log 343 3x
3 343x Bacon and Eggs
3 343x
7x
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Exponential & Logarithmic Functions
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The Richter Scale is a base 10 logarithmic scale.
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An earthquake in Seattle measured 5.4. An earthquake in Vancouver measured 3.2. How many times as intense was the earthquake in Seattle as the one in Vancouver?
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5.4
3.2
10
10S
V
I
I
5.4 3.210
2.210
158