Question

Find the value of x if (2^5x)/(2^x)=2√32

Answer 1

$\huge\pink{\mathfrak{Answer}}$

$= > \frac{( {2}^{5x} )}{ {2}^{x} } = 2 \sqrt{32} \\ \\ as \: exponent \: law \: \frac{ {x}^{m} }{ {x}^{n} } = {x}^{m - n} \\ \\ = > {2}^{5x - x} = 2 \sqrt{32} \\ \\ = > {2}^{5x - x} = 5 \sqrt{ {2}^{5} } \\ \\ = > {2}^{5x - x} = 2 \times \frac{5}{5} \\ \\ = > {2}^{5x - x} = {2}^{1} \\ \\ according \: to \: question \\ \\ = > {2}^{4x} = 1 \\ \\ => 4x = 1\\ \\ x = \frac{1}{4}$

Therefore,

$The \: final \: answer \: for \: Your \: question \: is \: \frac{1}{4}$

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