If $log (x^{2} - 21) = 2$ , then the value $x$ will be

13

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- 17

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- 11

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12

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Solution

The correct option is C $- 11$
${log} (x^{2} - 21) = 2 A s s u m i n g b a s e 10 {log}_{10} (x^{2} - 21) = 2 {log}_{10} 10 {log}_{10} x^{2} - 21 = {log}_{10} 100 R e m o v i n g l o g x^{2} - 21 = 100 x^{2} = 121 x = \pm 11$

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