Given a randomised log function select the possible ways of writing the domain of the function.
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\n\\[ g(t)=\\log_{\\var{base}}(\\simplify{t-{c[0]}})\\]
\nwe can only take the log of a positive number. That is,
\n\\[ \\simplify{t-{c[0]}>0} . \\]
\nRearranging this inequality for $t$ gives $\\simplify{t>{c[0]}}$.
\nTherefore, \\[ \\text{Domain}(g)=\\{t\\in\\mathbb{R}:\\,\\simplify{t>{c[0]}}\\}.\\]
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