Question
Download Solution PDFIf log10 2 = 0.3010, then log10 80 = ?
Answer (Detailed Solution Below)
Option 4 : 1.9030
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Detailed Solution
Download Solution PDFConcept:
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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