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

The answer to x^{4/3}= 4/3 x is x=0,x= 64/27

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

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

x = 0, x = \frac{64}{27}

Decimal Notation

x = 0, x = 2.37037 \dots

Solution steps

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

Multiply both sides by

3

x^{\frac{4}{3}} \cdot 3 = \frac{4}{3} x \cdot 3

Simplify

x^{\frac{4}{3}} \cdot 3 = 4 x

Take both sides of the equation to the power of

3 : 27 x^{4} = 64 x^{3}

27 x^{4} = 64 x^{3}

Solve

27 x^{4} = 64 x^{3} : x = 0, x = \frac{64}{27}

x = 0, x = \frac{64}{27}

Verify Solutions:

x = 0

True

, x = \frac{64}{27}

True

The solutions are

x = 0, x = \frac{64}{27}

30 = 30 (0.7) (d)

(x)^{2} - 25 = 0

36 x^{2} = 6 x

x^{- \frac{5}{2}} = 32

(x^{\frac{2}{3}}) = x - 4

What is the answer to x^{4/3}= 4/3 x ?
The answer to x^{4/3}= 4/3 x is x=0,x= 64/27
Solve for x: x^{4/3}= 4/3 x
The solution is x=0,x= 64/27