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Mathematics

Evaluate :

log10 8 + log10 25 + 2 log10 3 - log10 18

Logarithms

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Answer

Evaluating the expression,

⇒ log10 8 + log10 25 + 2 log10 3 - log10 18

⇒ log10 8 + log10 25 + log10 32 - log10 18

⇒ log10 8×25×3218\dfrac{8 \times 25 \times 3^2}{18}

⇒ log10 180018\dfrac{1800}{18}

⇒ log10 100

⇒ log10 102

⇒ 2 × log10 10

⇒ 2 × 1

⇒ 2.

Hence, log10 8 + log10 25 + 2 log10 3 - log10 18 = 2.

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