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How can logarithms be graphed with different bases? How do transformations affect the logarithmic graph?
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do you know the relationship between f(x) and f^-1(x)
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.
No
graphing y=f(x) and y=f^-1(x) is same as graphginh y=f(x) and x=f(y)
you just look at your axis flipped
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and log is the inverse of exponential function
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