Find the value of x if $\log_{x} 324 = 4$

dsuc.created: 2 years ago | dsuc.updated: 4 hours ago

dsuc.updated: 4 hours ago

2 \sqrt{3}

3 \sqrt{2}

\sqrt{6}

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common.best_ans:

$\log_{x} 324 = 4$

$\Rightarrow x^{4} = 324$

$\Rightarrow {(x^{2})}^{2} = 18^{2}$

$\Rightarrow x^{2} = 18$

$\Rightarrow x = \sqrt{18}$

$\Rightarrow x = \sqrt{3^{2} \times 2}$

$\Rightarrow x = 3 \sqrt{2}$

Answer: $3 \sqrt{2}$

2 years ago

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গণিত

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