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Mathematics

If log5 (0.04) = x, then the value of x is

  1. 2

  2. 4

  3. -4

  4. -2

Logarithms

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Answer

Given,

log5 (0.04) = x

⇒ 5x = 0.04

⇒ 5x = 4100=125\dfrac{4}{100} = \dfrac{1}{25}

⇒ 5x = 152\dfrac{1}{5^2}

⇒ 5x = 5-2

⇒ x = -2.

Hence, Option 4 is the correct option.

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