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

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Question 894297: f(x)= sqrt(x-3)/ ln(2x-27)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Can you take the natural logarithm of a negative number?
e%5E%28p%29=ValueLessThanZero
NO!

This means that 2x-27%3E=0
highlight%28x%3E=27%2F2%29
That is the necessary domain for your f(x). Note that this is also more than sufficient for the x%3E=3 restriction of the numerator.

Answer by MathTherapy(10552) About Me  (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

highlight_green%28x+%3E+27%2F2%29