Find the value of : log2 0.125

Let log2 0.125 = x. ∴ 2x = 0.125 ⇒ 2x = ⇒ 2x = ⇒ 2x = 8-1 ⇒ 2x = (23)-1 ⇒ 2x = 2-3 ⇒ x = -3 Hence, log2 0.125 = -3.

Mathematics

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Let log₂ 0.125 = x.

∴ 2^x = 0.125

⇒ 2^x = $\dfrac{125}{1000}$

⇒ 2^x = $\dfrac{1}{8}$

⇒ 2^x = 8^-1

⇒ 2^x = (2³)^-1

⇒ 2^x = 2^-3

⇒ x = -3

Hence, log₂ 0.125 = -3.

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