Question

Integer type questions:
One or more than one correct answer type questions:

If a^b=X for permissible values of a and x, then identify the statements which can be correct


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

b) If a and b are irrational numbers, then x can be rational

c) If a irrational and b rational numbers, then x can be rational

d) If a rational and b rational numbers, then x can be rational​

Answer 1

Answer:

a is the correct option please mark me as brainlist

Answer 2

Answer:

ANSWER

logax=b

⇒ax=eb

⇒x=aeb

Option A: both a and b are irrational.

Let, b be any irrational number and a be equal to a=eb that means a is irrational because e is irrational.

Then x=aeb becomes rational. 

Hence, option A can be correct.

Option B: a is rational and b is irrational.

If we take any rational number as a and b=lna

Then x=aeb=aelna=aa=1 becomes rational.

Hence, option B can be correct.

Option C: a is irrational and b is rational.

If we take any rational number as b and a=eb 

Then x=ebeb=1 becomes rational.

Hence, option C can be correct.

Option D: both a and b are rational.

If we take a= any rational number and b=0, x can be rational.

Hence, option D also can be true.