Mathematics

Find x, if :
log_x 625 = -4

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Given,

⇒ log_x 625 = -4

⇒ x^-4 = 625

⇒ $\dfrac{1}{x^4}$ = 625

⇒ $x^4 = \dfrac{1}{625}$

⇒ $x^4 = \Big(\dfrac{1}{5}\Big)^4$

⇒ x = $\dfrac{1}{5}$ = 0.2

Hence, x = 0.2

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