What is the domain of (ln(5-x*2))/(ln(3)) ?

The domain of (ln(5-x*2))/(ln(3)) is x< 5/2

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domain of (ln(5-x*2))/(ln(3))

domain

\frac{ln ( 5 - x \cdot 2 )}{ln ( 3 )}

x < \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2})

Solution steps

Find positive values for logs:

x < \frac{5}{2}

The function domain

x < \frac{5}{2}

f (x) = \frac{x - 1}{x + 2}

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

5 - x^{2}

\frac{x + 6}{6 x + 42}

What is the domain of (ln(5-x*2))/(ln(3)) ?
The domain of (ln(5-x*2))/(ln(3)) is x< 5/2