What is the answer to 3x^{3/4}=x^{1/2} ?

The answer to 3x^{3/4}=x^{1/2} is x=0,x= 1/81

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3x^{3/4}=x^{1/2}

3 x^{\frac{3}{4}} = x^{\frac{1}{2}}

x = 0, x = \frac{1}{81}

Decimal Notation

x = 0, x = 0.01234 \dots

Solution steps

3 x^{\frac{3}{4}} = x^{\frac{1}{2}}

Take both sides of the equation to the power of

4 : 81 x^{3} = x^{2}

81 x^{3} = x^{2}

Solve

81 x^{3} = x^{2} : x = 0, x = \frac{1}{81}

x = 0, x = \frac{1}{81}

Verify Solutions:

x = 0

True

, x = \frac{1}{81}

True

The solutions are

x = 0, x = \frac{1}{81}

2 x - 1 3^{x - 3} = 27

x = 3 + 23 - x

x, z = 4 - x^{2} - y^{2}

p - 10 = 50 - 5 p

y, x + y = 5

What is the answer to 3x^{3/4}=x^{1/2} ?
The answer to 3x^{3/4}=x^{1/2} is x=0,x= 1/81
Solve for x: 3x^{3/4}=x^{1/2}
The solution is x=0,x= 1/81