What are the solutions to the equation 3^{10}=3^7*x^3 ?

The solutions to the equation 3^{10}=3^7*x^3 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

Find the zeros of 3^{10}=3^7*x^3

The zeros of 3^{10}=3^7*x^3 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

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

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

Solution steps

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

Switch sides

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

Divide both sides by

3^{7}

x^{3} = 3^{3}

For

x^{3} = f (a)

the solutions are

Simplify

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

x^{3} + 4 x^{2} - 4 x - 16 = 0

x^{3} + 2 x^{2} - 16 x - 32 = 0

x^{3} = - 512

x^{4} + 64 = 0

x^{3} + 2 x^{2} - 8 x = 0

What are the solutions to the equation 3^{10}=3^7*x^3 ?
The solutions to the equation 3^{10}=3^7*x^3 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i
Find the zeros of 3^{10}=3^7*x^3
The zeros of 3^{10}=3^7*x^3 are x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i