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# A28-4 log fxns

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### Transcript of "A28-4 log fxns"

1. 1. Logarithmic Functions<br />Algebra 2<br />8.4<br />
2. 2. Logarithmic Functions<br />2x = 6<br />You know that 22< 6 < 23, so that means <br />2 < x < 3.<br />
3. 3. Mathematicians use logarithms to find the exact value of exponents like this example.<br />
4. 4. 2x = 6 can also be written in log form:<br />log2 6 = x<br />
5. 5. 2x = 6 can also be written in log form:<br />log2 6 = x<br />Exponential form<br />Logarithmic form<br />
6. 6. Log Functions<br />Log functions are inverses of exponential functions.<br />
7. 7. The graphs of inverse functions are symmetric across the line <br />y = x.<br />
8. 8. The Domain and Range for exponential functions are opposite for log functions.<br />
9. 9. Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />
10. 10. Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />If b > 1, the graph is increasing.<br />
11. 11. y = logb (x – h) + k<br />Graphing Log Functions<br />The line x = h is a vertical asymptote.<br />If b > 1, the graph is increasing.<br />If 0 > b > 1, the graph is decreasing.<br />
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