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How do you solve $log 2 (x + 2) − log 2 (x − 5) = 3$ ?
Class: 9

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answer is C.

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Detailed Solution

⇒ We have

log 2 (x + 2) − log 2 (x − 5) = 3

⇒ log 2 (x + 2) (x − 5) = 3

⇒ 23 = (x + 2) (x − 5) ⇒ 8 = (x + 2) (x − 5) ⇒ 8 (x − 5) = (x + 2)

⇒ 8x – 40 = x + 2
⇒ 8x – x = 2 + 40
⇒ 7x = 42
⇒

x = 427

⇒ x = 6

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