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Find the domain and range of f(x)=log{x}...

Find the domain and range of `f(x)=log{x},w h e r e{}` represents the fractional part function).

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We know that `o le {x} lt 1 AA x in R.`
Now, when `{x} =0, log{x}` is not defined. So, x cannot be an integer. Hence, the domain is `R-I`.
Now, for `0 lt {x} lt 1, -oo lt log {x} lt 0. ` So, range is `(-oo,0).`
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