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Mathematics

If log (x2 - 21) = 2, show that x = ±11\pm 11.

Logarithms

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Answer

Given,

⇒ log (x2 - 21) = 2

⇒ x2 - 21 = 102

⇒ x2 - 21 = 100

⇒ x2 = 100 + 21

⇒ x2 = 121

⇒ x = 121\sqrt{121}

⇒ x = ±11\pm 11.

Hence, proved that x = ±11\pm 11.

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