log (x + 3) + log (x + 5) = log 35, x का मान ज्ञात कीजिए:

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Option 2 : 2
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दिया गया है:

log (x + 3) log (x + 5) = log 35

प्रयुक्त सूत्र:

यदि log(a) log(b) = log(c) है, तो

गणना:

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 या x = 2

चूँकि x धनात्मक होना चाहिए, इसलिए x = 2

इसलिए, सही उत्तर विकल्प (2) है।

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