SOLUTION: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x.       Log On


   

Question 405483: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x.
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Graph y = 2x:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%29
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g(x) = log(2x) has (0,+inf) as its domain
so there is no g(x) on the interval (-inf,0)
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Draw log(2x) = log(2) + logx
= 0.3010 + log (x)
Draw a horizontal line at y = 0.3010.
Draw y = log(x) over the interval (0,+inf) to get:
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graph%28400%2C300%2C-10%2C10%2C-3%2C3%2C0.3010%2Clog%2810%2C2x%29%29
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Cheers,
Stan H.