What is the domain of (3ln(x)ln(x))/x ?

The domain of (3ln(x)ln(x))/x is x>0

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domain of (3ln(x)ln(x))/x

domain

\frac{3 ln ( x ) ln ( x )}{x}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = \frac{28}{( t + 7 ) ^{2}}

f (x) = ln (\frac{2 x}{3 - x})

f (x) = \frac{( - 4 x - 3 )}{3 x - 5}

f (x) = \frac{( x + 2 )}{x ^{2} + 13}

f (x) = tan^{2} (x)