What is the answer to (x+4)^{3/5}=2 ?

The answer to (x+4)^{3/5}=2 is x=2*4^{1/3}-4

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(x+4)^{3/5}=2

(x + 4)^{\frac{3}{5}} = 2

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

Decimal Notation

x = - 0.82519 \dots

Solution steps

(x + 4)^{\frac{3}{5}} = 2

Take both sides of the equation to the power of

5 : (x + 4)^{3} = 32

(x + 4)^{3} = 32

Solve

(x + 4)^{3} = 32 : x = 2 \cdot 4^{\frac{1}{3}} - 4

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

Verify Solutions:

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

True

The solution is

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

x x = 260000

3 x - 2 = x - 2

3 x - 2 = x - 4

3 x + 4 + 2 = x

What is the answer to (x+4)^{3/5}=2 ?
The answer to (x+4)^{3/5}=2 is x=2*4^{1/3}-4
Solve for x: (x+4)^{3/5}=2
The solution is x=2*4^{1/3}-4