यदि log10 2 = 0.3010 तो log10 80 = ?

  1. 1.240
  2. 0.9030
  3. 3.010
  4. 1.9030

Answer (Detailed Solution Below)

Option 4 : 1.9030
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अवधारणा:

लघुगणक:

  • यदि ab = x तो हम कहते हैं कि loga x = b
  • loga a = 1
  • loga (xy) = loga x + loga y


गणना:

हम जानते हैं कि 80 = 23 × 10

दिए गए लघुगणक को log 2 में बदलने पर, हम प्राप्त करते हैं:

log10 80

= log10 (23 × 10)

= log10 23 + log10 10

= 3 (log10 2) + 1

= 3(0.3010) + 1

1.9030

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