If logax=b for permissible values of a and x, then identify the statement(s) which can be correct.
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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 6 is rational, then x can be rational.
d
If a and b are rational, then x can be rational.
answer is A.
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Detailed Solution
logax=b or x=ab 1 For a=22∉Q and b=2∉Q;x=222 which is rational.2 For a=2∈Q and b=log23∉Q;x=3 which is rational.3 For a=2 and b=2;x=2(4) The option is obviously correct.