Write Log7t As A Base 2 Logarithm

So in most applications, we refuse to use negative bases. HOWEVER, just because the concept of "logarithm" isn't a function on the complex plane, does not mean that we can't USE complex logarithms: it's just that we have to do something called a "branch cut", which basically picks one output for all values in a consistent way.

Write Log7t As A Base 2 Logarithm 1

In the old days, when people used logarithm tables to do multiplication, the page after the log tables was the antilog tables (to base ten of course). You looked up the logs of your numbers, added them, and then looked up the antilog of that.

Write Log7t As A Base 2 Logarithm 2

I had "the logarithm of a number is the index to which the base is raised to equal that number" drilled into me 60 years ago. It's still helpful when I need a reminder what does what. In this context, y is the number, x is the base and y is the index.

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Write Log7t As A Base 2 Logarithm 4

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Write Log7t As A Base 2 Logarithm 5

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