Find the Domain log base 5 of x

$\log_{5} (x)$

Set the argument in $\log_{5} (x)$ greater than $0$ to find where the expression is defined.

$x > 0$

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(0, \infty)$

Set-Builder Notation:

${x | x > 0}$

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