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Mathematics

Find the logarithm of 0.001 to the base 10.

Logarithms

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Answer

Let,

⇒ log10 (0.001) = x

⇒ (10)x = 0.001

10x=1100010^x = \dfrac{1}{1000}

⇒ 10x = 1103\dfrac{1}{10^3}

⇒ 10x = 10-3

⇒ x = -3.

Hence, required value = -3.

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