Find the value of $x$ which satisfies ${4.18}^{x} = 36.54$ .

0.86

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1.43

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1.80

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2.17

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2.52

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Solution

The correct option is D $2.52$
Given, ${4.18}^{x} = 36.54$

$\Rightarrow x = {log}_{4.18} 36.54$

$\Rightarrow x = \frac{log 36.54}{log 4.18} = 2.52$

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