Question

Answer with proper steps
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Answer 1

Step-by-step explanation:

(i)

Given Equations is:

9^x = 3^y

(3)^2x = (3)^y

2x = y

When x = 1, y = 2.

2 = 2.

(ii)

Given Equation is:

5^(x + y + 1) = 25^xy

⇒ 5^(x + y + 1) = (5²)^xy

⇒ (x + y + 1) = (2xy)

When x = 1, y = 2:

⇒ 1 + 2 + 1 = 2(1)(2)

⇒ 4 = 4

Therefore:

The values are x = 1, y = 2

Hope it helps!

Answer 2

Given Equations is:

9^x = 3^y

(3)^2x = (3)^y

2x = y

When x = 1, y = 2.

2 = 2.