If \( \log _{a} x=b \) for permissible values of \( a \) and \( x \) then which is /are correct.....

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If \( \log _{a} x=b \) for permissible values of \( a \) and \( x \) then
\( \mathrm{P} \)
which is /are correct.
W
(A) If \( \mathrm{a} \) and \( \mathrm{b} \) are true irrational numbers then \( \mathrm{x} \) can be rational
(B) If \( \mathrm{a} \) is rational and \( \mathrm{b} \) is irrational then \( \mathrm{x} \) can be rational
(C) If \( a \) is irrational and \( b \) is rational then \( x \) can be rational
(D) If \( \mathrm{a} \) is rational and \( \mathrm{b} \) is rational then \( \mathrm{x} \) cannot be rational


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