Question

Statement-1: `3^("log"_(2) 7) -7^("log"_(2)3) = 0`
Statement-2: `x^("log"_(a)y) = y^("log"_(a)x), " where "x gt 0, y gt 0" and "a gt 0, a ne 1`
A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is true, Statement-2 is NOT a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Answer 1

Correct Answer - A
We have, `x^("log"_(a)y) = y^("log"_(a) x) " "["See Nineth law"]`
`therefore 3^("log"_(2) 7) = 7^("log"_(2)3) rArr 3^("log"_(2)7)-7^("log"_(2)3) = 0`