Mathematics

Evaluate the following without using log tables :
log (1.2) + 2 log (0.75) − log (6.75)

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Given,

⇒ log (1.2) + 2 log (0.75) − log (6.75)

⇒ log (1.2) + log (0.75)² − log (6.75)

⇒ log (1.2) + log (0.5625) − log (6.75)

⇒ log (1.2 × 0.5625) − log (6.75)

⇒ log (0.675) − log (6.75)

⇒ log $\Big(\dfrac{0.675}{6.75}\Big)$

⇒ log (0.1)

⇒ log $\Big(\dfrac{1}{10}\Big)$

⇒ log₁₀ 10^-1

⇒ -1 log₁₀ 10

⇒ -1 × 1

⇒ -1.

Hence, log (1.2) + 2 log (0.75) − log (6.75) = -1.

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