If ${\left(\log \right)}_{a}x=b$ for permissible values of $a$ and $x,$ then identify the statement(s) which can be correct. (a)If $a$ and $b$ are two irrational numbers, then $x$ can be rational. (b)If $a$ is rational and $b$ is irrational, then $x$ can be rational. (c)If $a$ is irrational and $b$ is rational, then $x$ can be rational. (d)if $aandb$ are rational, then $x$ can be rational.

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