What is the domain of (ln(-\frac{7x)/(x-1))}{ln(2)} ?

The domain of (ln(-\frac{7x)/(x-1))}{ln(2)} is 0<x<1

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domain of (ln(-\frac{7x)/(x-1))}{ln(2)}

domain

\frac{ln ( - \frac{7 x}{x - 1} )}{ln ( 2 )}

0 < x < 1

Solution steps

Find positive values for logs:

0 < x < 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 < x < 1

\frac{2 x}{9 x - 8}

lo g_{10} (10 - x)

\frac{3 - 6 x ^{3}}{8 x ^{3} - 2}

f (x) = \frac{x - 7}{x - 7 - 3}

\frac{2 x - 14}{x ^{2} - 14 x}

What is the domain of (ln(-\frac{7x)/(x-1))}{ln(2)} ?
The domain of (ln(-\frac{7x)/(x-1))}{ln(2)} is 0<x<1