What is the answer to x^{5/2}=3 ?

The answer to x^{5/2}=3 is x=3^{2/5}

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x^{5/2}=3

x^{\frac{5}{2}} = 3

x = 3^{\frac{2}{5}}

Decimal Notation

x = 1.55184 \dots

Solution steps

x^{\frac{5}{2}} = 3

Take both sides of the equation to the power of

\frac{2}{5} : x = 3^{\frac{2}{5}}

x = 3^{\frac{2}{5}}

Verify Solutions:

x = 3^{\frac{2}{5}}

True

The solution is

x = 3^{\frac{2}{5}}

x^{\frac{5}{2}} = 4

2 a^{2} - 3 = - \frac{a - 3}{2}

x, 2 (2 x y) = 4 x y

x, x + 2 = x - 1

y^{\frac{2}{3}} - \frac{1}{36} = 0