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Standard Formulae - 1

Solve: 2x=81

Question

Solve: $2^{x} = 81$

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Solution

$2^{x} = 81$
$2^{x} = 3^{4}$
$x {log}_{2} 2 = 4 {log}_{2} 3$
$∴ x = 4 {log}_{2} 3$

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