If 2x×4x=(8) 13×(32) 15, The value of is ____.

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If $2^{x} \times 4^{x} = {(8)}^{\frac{1}{3}} \times {(32)}^{\frac{1}{5}}$ , The value of is ____.

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Detailed Solution

Concept- The value of ‘x’ in the given expression is

. The base of the equation will first be transformed in terms of the exponents of 2. Then the equation will be made simpler. Following that, the equation's powers will be compared and equal. The value of x will then be calculated by solving the equation.

2^{x} \times 4^{x} = {(8)}^{\frac{1}{3}} \times {(32)}^{\frac{1}{5}}

Hence, the correct answer is

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