Mathematics

Problem

Identify the domain of the function

f(x)=\log_{5}(x)

. a)

x\ge 1

x>0

x\ge 0

x\neq 0

Intuitive explanation

The domain of a logarithm is all the input values that actually produce a real output. Since logarithms are only defined for positive arguments, you need to ask: what values of $x$ make the input to $\log_5(x)$ positive? The base doesn't matter here—the restriction comes entirely from what's inside the log.

Intuitive explanation

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