<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%7B27%7D%5E%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{3} = {27

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Elina [12.6K]

3 years ago

}^{?} " alt=" \sqrt{3} = {27}^{?} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Let the unknown be x

$\sqrt{3} = 27^x$

$3^\frac{1}{2} = 3^{3x}$

Both the base number are 3, so we equate the exponent:

$\dfrac{1}{2} = 3x$

$x = \dfrac{1}{2} \div 3$

$x = \dfrac{1}{2} \times \dfrac{1}{3}$

$x = \dfrac{1}{6}$

Answer: 1/6

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