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 retional.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 a and b are rational, then x can be rational.

If `(log)_a x=b`for permissible values of `aa n dx ,`then identify the

1.	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 retional.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 a and b are rational, then x can be rational.
Answer» Correct Answer - A::B::C::D ` log_(a) x = b or x = a^(b)` (1) For `a=sqrt2^(sqrt2)!inQ and b = sqrt2 !in Q, x = (sqrt2^(sqrt2))^(sqrt2)` which is rational. (2) For ` a = 2 in Q abd b = log_(2) 3 !in Q , x = 3` which is rational. (3) For ` a = sqrt2 and b = 2 , x = 2` (4) The option is aboviously correct.