State true or false-If 3 -42x - 12 - 3 -85-then value of x is 3 12-

The correct option is A True(34 #8730;)2x+12=(38 #8730;)5(34)2x+12=(38)5,then value of #160;xx #160;is #160;312312 #160; ...

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State true or...

Question

State true or false.
If $(3 \sqrt{4})^{2 x + \frac{1}{2}} = (3 \sqrt{8})^{5}$ ,then value of $x$ is $3 \frac{1}{2}$ .

True

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False

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Solution

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{(\sqrt[3]{4})}^{2 x + \frac{1}{2}} = {(\sqrt[3]{8})}^{5}

x

3 \frac{1}{m}

m

x = 3 - 2 \sqrt{2}

\frac{1}{x}

= 3 + 2 \sqrt{2}

x = 3 - 2 \sqrt{2}

\sqrt{x} - \frac{1}{\sqrt{x}}

= - 2

x = 3 - 2 \sqrt{2}

\sqrt{x} + \frac{1}{\sqrt{x}}

= \pm 2 \sqrt{2}

x = 3 - 2 \sqrt{2}

x - \frac{1}{x}

= - 4 \sqrt{2}

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