Mathematics

Solve the following equation for x:
log_x 0.001 = -3

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Given,

⇒ log_x 0.001 = -3

⇒ x^-3 = 0.001

⇒ x^-3 = $\dfrac{1}{1000} = \dfrac{1}{10^3}$

⇒ x^-3 = 10^-3

⇒ x = 10.

Hence, x = 10.

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