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Wed 6 Jul, 2005 09:45 am
1) Show that log_a (x + sqrt{x^(2) - 1}) + log_a (x - sqrt{x^(2) - 1}) = 0
2) Show that LN (1 + e^(2x) ) = 2x + LN (1 + e ^-(2x)
Hints:
For number 1, remember that the log_a X + log_a Y = log_a ( X*Y )
For number 2, remember the hint above and also remember that 2x = ln ( e^2x )
In general, you will get more help if you try to solve the problem yourself and show us your work.
Yes...
Yes, you are right. I should show my work from now on.
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