SOLUTION: Find the domain of the given function f(x)=(&#8730;lnx)

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Question 957758: Find the domain of the given function
f(x)=(√lnx)
Found 2 solutions by lwsshak3, ikleyn:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website!
Find the domain of the given function
f(x)=(√lnx)
domain: [1,∞)
note: for x<1, lnx<0 (this is true for logs of any base)

Answer by ikleyn(53937)   (Show Source):
You can put this solution on YOUR website!
.
Find the domain of the given function
f(x)=(√lnx)
~~~~~~~~~~~~~~~~~~~~~~~~~~~

In his post, @lwsshar3 makes a note

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

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

In opposite, if the base 'a' is lesser than 1, then is POSITIVE for x < 1.

Be aware.

SOLUTION: Find the domain of the given function f(x)=(&#8730;lnx)

SOLUTION: Find the domain of the given function f(x)=(√lnx)