If 4:2 = 62:x, then find the value of x.

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Solution

4:2 = 62:x
$\Rightarrow$ $\frac{4}{2} = \frac{62}{x}$ $[1 m a r k]$
$\Rightarrow$ $4 x = 2 \times 62$
$\Rightarrow$ $4 x = 124$
$\Rightarrow$ $x = 31$ $[1 m a r k]$

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If $2^{4} \times 4^{2} = 16^{x} $, then find the value of x.

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