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# Domains of ln(hyperbolic functions) help watch

1. So the question is write down the maximal domain of ln(cosh x ) now graphically I've seen online that the answer is around 710.
However, I'm struggling in proving this mathematically. And some help would be appreciated.
I haven't come across hyperbolic functions before, although I know what they represent, in terms of e.

Help would be appreciated.
2. (Original post by joe1545)
So the question is write down the maximal domain of ln(cosh x ) now graphically I've seen online that the answer is around 710.
However, I'm struggling in proving this mathematically. And some help would be appreciated.
I haven't come across hyperbolic functions before, although I know what they represent, in terms of e.

Help would be appreciated.
I suggest that you sketch the graphs of and of . Then, where are the problems going to be with ? Does the range of intersect with this "problem set"?

BTW, I'm not at all sure where you get 710 from...

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Updated: October 25, 2015
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