1.30.08 logarithm intro
Post on 18-Dec-2014
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Warm-up
Solve for x:
981
162
044
610
5
2
3
2
x
x
xx
x
Consider an exponential function:
How would you find the inverse of that function?
In the equation above, we say that “y is the logarithm of x to the base b.”
Logarithms
xby
ybx
xy blog
To Evaluate
Think, “What exponent goes on 2 to give me 32?”
Try these:
32log2
532log2
xybx by log
27log3
1000log10
2log4
5.0log2
xybx by log
27log9
8log4
Some are trickier:
Try these:
16log64
What about not-so-nice numbers?
xybx by log
50log10
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