Mathematics
If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 1.2.
Logarithms
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Answer
Simplifying the expression,
⇒ log 1.2
⇒ log
⇒ log 12 - log 10
⇒ log (22 × 3) - log 10
⇒ log 22 + log 3 - log 10
⇒ 2 log 2 + log 3 - 1
⇒ 2 × 0.3010 + 0.4771 - 1
⇒ 0.6020 + 0.4771 - 1
⇒ 1.0791 - 1
⇒ 0.0791
Hence, log 1.2 = 0.0791
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