SOLUTION: f(x)= sqrt(x-3)/ ln(2x-27)

Question 894297: f(x)= sqrt(x-3)/ ln(2x-27)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Can you take the natural logarithm of a negative number?

NO!

This means that

That is the necessary domain for your f(x). Note that this is also more than sufficient for the restriction of the numerator.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

f(x)= sqrt(x-3)/ ln(2x-27)

Set the denominator greater than 0
Based on the denominator, we get: 2x - 27 > 0
2x > 27

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