## Logarithm Graphs in Wolfram Alpha

At the Wolfram Alpha Workshop at ICTCM, there was universal disappointment about the fact that you cannot get a graph of a logarithm that is only over the real numbers. We tried everything we could think of to remove the complex part of the graph. Personally, I have tried and tried and tried and tried to explain the problem with this in the feedback window for Wolfram Alpha, but been universally unsuccessful. Every time I suggest a change, I am told that the “After review, our internal development group believes the plots for input “log(x)” are correct.” … yes, I know that … that doesn’t mean it’s the answer that most people will be looking for. I find it ironic that “inverse of e^x” produces the graph we’d like to see, and even gives log(x) as an equivalent. But then ask for a graph of log(x) or ln(x) and the graph will always include the solution over the complex numbers. What’s worse is that W|A inconsistently decides when to use reals only and when to use both complex and real numbers. For example, the output for y=ln(x), y=x includes the complex numbered plot, while the output for y=ln(x), y=2x-3 includes only the Reals. What!?! Actually, I have some idea why this is … it seems that in some cases, if the extra graph intersects the real part of...

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