Question

If
$log( \frac{a + b}{2} ) = \frac{1}{2}$
(log a + log b), then prove that a= b. ​

Answer 1

Solution :-

Prime Factorisation of 48 = 2 × 2 × 2 × 2 × 3

Prime Factorisation of 144 = 2 × 2 × 2 × 2 × 3 × 3

Prime Factorisation of 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Hence, HCF = 2 x 2 x 2 x 2 x 3 = 48

Hence, option (C) is correct.