Question

(ii) 2*-7 5*-4 = 1250​

Answer 1

Answer:

Given 2n-7 * 5n-4 = 1250 Here 1250 = 2 x 5 x 5 x 5 x 5 = 2 x 54 Now 2n-7 × 5n-4 × 23 = 2 × 54 × 23 [ multiply 23 on both sides ] ⇒ 2n - 7 + 3 × 5n-4 = 24 × 54 ⇒ 2n - 4 × 5n-4 = 24 × 54 ⇒ 10n - 4 = 104 bases are equal powers should be equated ⇒ n - 4 = 4 ∴n = 8