Find the value of $x$ which satisfies the equation: ${log}_{2} (x^{2} - 3) = 5$

3.61

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4.70

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5.29

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5.75

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5.92

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Solution

The correct option is E $5.92$
${log}_{2} (x^{2} - 3) = 5$
$x^{2} - 3 = 2^{5} = 32$ , which implies $x^{2} = 35$
$x = \sqrt{35} = 5.92$

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