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If (log)a x=b for permissible values of ...

If `(log)_a x=b` for permissible values of `aa n dx ,` then identify the statement(s) which can be correct. If `aa n db` are two irrational numbers, then `x` can be rational. If `a` is rational and `b` is irrational, then `x` can be rational. If `a` is irrational and `b` is rational, then `x` can be rational. If `aa n d b` are rational, then `x` can be rational.

A

If a and b are two irrational numbers then x can be rational.

B

If a rational and b irrational then x can be rational .

C

If a irrational and b rational then x can be rational.

D

If a rational and b rational then x can be rational.

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The correct Answer is:
A, B, C, D
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