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# 8^1/6 x 2^x = 32^1/2 work out the value of x

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8^1/6 x 2^x = 32^1/2 work out the value of x

Dec 16, 2022

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$$(2^{3})^{1\over6}\cdot2^x=32^{1\over2}$$

$$2^{1\over2}\cdot2^x=32^{1\over2}$$

$$2^{{1\over2}+x}=2^{6\cdot{1\over2}} = 2^3$$

$${1\over2}+x=3$$

$$x={5\over2}$$

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Dec 16, 2022