Question 957758
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Find the domain of the given function
f(x)=(√lnx)
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In his post, @lwsshar3 makes a note


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;for x < 1, ln(x) < 0 (this is true for logs of any base)



As an absolute statement, this note is wrong: &nbsp;for x < 1, &nbsp;{{{log(a,x)}}} &nbsp;is negative only if the base 'a' is greater than &nbsp;1 &nbsp;(one).


In opposite, &nbsp;if the base &nbsp;'a' &nbsp;is lesser than &nbsp;1, &nbsp;then &nbsp;{{{log(a,x)}}} &nbsp;is &nbsp;POSITIVE &nbsp;for &nbsp;x < 1.


Be aware.