Find the value of : log5 0.2

Let log5 0.2 = x. ∴ 5x = 0.2 ⇒ 5x = ⇒ 5x = ⇒ 5x = 5-1 ⇒ x = -1 Hence, log2 0.125 = -1.

Mathematics

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Let log₅ 0.2 = x.

∴ 5^x = 0.2

⇒ 5^x = $\dfrac{2}{10}$

⇒ 5^x = $\dfrac{1}{5}$

⇒ 5^x = 5^-1

⇒ x = -1

Hence, log₂ 0.125 = -1.

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