Question

Find y if [[9*(3^(2x))-(3^(x))*(3^(x-2))]/2]=360 and x=2^(y)​

Answer 1

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ANSWER ::

9*(3^(2x))-(3^(x))*(3^(x-2))/2=360

⟹ 9*(3^(2x))-3^(2x-2) =360 × 2

⟹ 9*(3^(2x))-3^2x/9 = 720

Let

P = 3^2x

So

9p - p/9 +720

⟹ 80p/9 = 720

⟹ p = 720 × 9/80

⟹ p = 81

So

3^2x = 81

⟹ 3^2x = 3^4

⟹ 2x = 4

⟹ x = 2

So

2^y = 2

⟹ y = 1

Answer 2

Answer:

Step-by-step explanation:

(9*3²ˣ - 3ˣ * 3ˣ⁻²)/2 = 360

3²ˣ⁺² - 3²ˣ⁻² = 720

3²ˣ (9-1/9) = 720

3²ˣ (80/9) = 720

3²ˣ  = (720*9)/80 = 9*9

3²ˣ  = 3⁴

2x =4

x=2

x=2^y

y=1