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anonymous

  • one year ago

How can logarithms be graphed with different bases? How do transformations affect the logarithmic graph?

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  1. dan815
    • one year ago
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    do you know the relationship between f(x) and f^-1(x)

  2. Empty
    • one year ago
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    Well the simplest way to think of different bases is to exploit this: \[y=\log_b(x) = \frac{\log_a(x)}{\log_a(b)}\] So if you want to compare the bases a and b then you can always write one in terms of the other scaled by a factor.

  3. anonymous
    • one year ago
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    No

  4. dan815
    • one year ago
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    graphing y=f(x) and y=f^-1(x) is same as graphginh y=f(x) and x=f(y)

  5. dan815
    • one year ago
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    you just look at your axis flipped

  6. dan815
    • one year ago
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    and log is the inverse of exponential function

  7. anonymous
    • one year ago
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    @Empty

  8. dan815
    • one year ago
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    |dw:1436389088165:dw|

  9. Empty
    • one year ago
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    https://www.desmos.com/calculator/bcj497jgiz Here's probably the best way to find out what happens when you change the bases, just graph the different ones and see how they change.

  10. anonymous
    • one year ago
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    ok, ty

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