Solve: ${log}_{x} 64 = \frac{3}{2}$ .

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Solution

Now,
${log}_{x} 64 = \frac{3}{2}$ .
or, $x^{\frac{3}{2}} = 64$
or, $(\sqrt{x})^{3} = 4^{3}$
or, $\sqrt{x} = 4$
or, $x = 4^{2} = 16$ .

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