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Is my professor correct or is that a bad habit to adapt?

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- #1

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Is my professor correct or is that a bad habit to adapt?

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Today in a lecture in one of my engineering courses the professor said that mathematicians assume that when log is written the base is e. I had always learned to assume base 10, and simply write ln when I wanted the base as e.

I'm with you.

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Integral

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In math and physics log_{10} is rarely used, assume base e. I also use ln for base e.

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mathman

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AlephZero

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I had always learned to assume base 10, and simply write ln when I wanted the base as e.

That's a perfectly reasonable "rule", but don't expect everybody else to use it!

When doing calculation, assume 10

Well, calculator buttons are often labeled log and ln, but computer programming languages tend to use log() for base e and log10() for ... um .... some other base, maybe 42?

Just remember that one way to have a quiet life is use the same notation as your prof.

And number theorists think ##\log_k x## means ##\ln \ln \dots\ \ln x##. (i.e take the natural log k times).

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In most cases, it's either clear from context or doesn't matter.

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arildno

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Otherwise, log_10 is basically eliminated from the professional world.

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