Question
Download Solution PDFlog (x + 3) log (x + 5) = log 35, solve for x :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
log (x + 3) log (x + 5) = log 35
Formula used:
log(a) log(b) = log(c)
Calculation:
log (x + 3) log (x + 5) = log 35
⇒ log (x + 3) log (x + 5) = log 5 × log 7
⇒ (x + 3) (x + 5) = 35
⇒ x2 + 8x + 15 = 35
⇒ x2 + 8x - 20 = 0
⇒ (x + 10)(x - 2) = 0
⇒ x = -10 or x = 2
Since x must be positive, x = 2
∴ The correct answer is option (2).
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