Question

if 3√x/2.56=100/x,then x??​

Answer 1

Explanation:

Hii dear mate, your answer is here below in step by step

Go ahead

3√x/2.56=100/x

=>3x√x=256

=>x√x=256/3

Plz do the calculation in your own

I hope it can help you

Thanks

Answer 2

The value of x is 19.38

Explanation:

The given equation is:

$\frac{3\sqrt{x} }{2.56} =\frac{100}{x}$

In order to solve x, we will first isolate x

To isolate x we will first divide 100 on both sides.

$\frac{3\sqrt{x} }{2.56}\times\frac{1}{100} =\frac{100}{x}\times\frac{1}{100} \\\\\Rightarrow\frac{3\sqrt{x} }{256} =\frac{1}{x}$

Cross multiplying

$3x^{\frac{3}{2}}=256$

Divide both sides by 3

$x^{\frac{3}{2}}=\frac{256}{3}$

Take the reciprocal of the exponent to find x

$x=(\frac{256}{3})^ {\frac{2}{3} }\\x=19.38$

Learn More:

X^√x=(√x)^x,solve it​

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