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If log10 2 = 0.3010, then 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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Detailed Solution

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Concept:

Logarithms:

  • If ab = x, then we say that loga x = b.
  • loga a = 1.
  • loga (xy) = loga x + loga y.


Calculation:

We know that 80 = 23 × 10.

Changing the given logarithms to log 2, we get:

log10 80

= log10 (23 × 10)

= log10 23 + log10 10

= 3 (log10 2) + 1

= 3(0.3010) + 1

= 1.9030.

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