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受欢迎的代数 >

3^{10}=3^7x^3

解答

3^{10} = 3^{7} x^{3}

解答

x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

求解步骤

3^{10} = 3^{7} x^{3}

交换两边

3^{7} x^{3} = 3^{10}

两边除以

3^{7}

x^{3} = 3^{3}

对于

x^{3} = f (a)

解为

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 3 3^{3}, x = 3 3^{3} \frac{- 1 + 3 i}{2}, x = 3 3^{3} \frac{- 1 - 3 i}{2}

3 3^{3} = 3

化简

3 3^{3} \frac{- 1 + 3 i}{2} : - \frac{3}{2} + \frac{3 3}{2} i

化简

3 3^{3} \frac{- 1 - 3 i}{2} : - \frac{3}{2} - \frac{3 3}{2} i

x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

作图

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