Find the value of x:

23 × 34 × 1080 ÷ 15 = 6x

  1. 4
  2. 6
  3. 8
  4. 2

Answer (Detailed Solution Below)

Option 2 : 6
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Detailed Solution

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Given,

23 × 34 × 1080 ÷ 15 = 6x

⇒ 23 × 34 × 72 = 6x

⇒ 23 × 34 × (2 × 62) = 6x

⇒ 24 × 34 × 62 = 6x

⇒ (2 × 3)4 × 62 = 6x           [∵ xm × ym = (xy)m]

⇒ 64 × 62 = 6x

⇒ 6(4 + 2) = 6x

⇒ x = 6

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