If 2, _ 3^x - 4 4, _ 3^x + 72 4 are in HP then x is equal to

JEE Advanced Mathematics question

If are in HP then is equal to

Answer: (B)

Terms in HP reciprocals in AP: are in AP. Since ,

2 - 4) = 2 + + 72) ⇒ -

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Question ID VK-109996