What is the answer to 2x^{4/3}=162 ?

The answer to 2x^{4/3}=162 is x=27,x=-27

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2x^{4/3}=162

2 x^{\frac{4}{3}} = 162

x = 27, x = - 27

Solution steps

2 x^{\frac{4}{3}} = 162

Divide both sides by

2

x^{\frac{4}{3}} = 81

Take both sides of the equation to the power of

3 : x^{4} = 531441

x^{4} = 531441

Solve

x^{4} = 531441 : x = 27, x = - 27

x = 27, x = - 27

Verify Solutions:

x = 27

True

, x = - 27

True

The solutions are

x = 27, x = - 27

x + 7 = 5

x - 3 = x - 1

x = 2 x 1 - x^{2}

- 3 2 x + (- 4) 2 = 6

2 x^{\frac{2}{5}} - 43 = - 25