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votes
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Find values of $x$, such as $\log_3 \sqrt{x+3}−\log_3(9−x^2) < 0$
The Function is $$f(x) = \log_3\sqrt{(x+3)}−\log_3(9−x^2)$$
and I need to figure out arguments for which $$ f(x) < 0 $$
So I calculated the domain of function which is $ D: (-3;3)$
However I am ...
- 31
8
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4
answers
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Are logarithms the only continuous function on $(0, \infty)$ such that $f(xy) = f(x) + f(y)$?
Are logarithms the only continuous function on $(0, \infty)$ that has this property?
$$
f(xy) = f(x) + f(y)
$$
If so, how would we show that? If not, what else would we need to show that a function $...
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