What are the solutions to the equation log_{2}(256)=(x^3)/8 ?

The solutions to the equation log_{2}(256)=(x^3)/8 are x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

Find the zeros of log_{2}(256)=(x^3)/8

The zeros of log_{2}(256)=(x^3)/8 are x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

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lo g_{2} (256) = \frac{x ^{3}}{8}

x = 4, x = - 2 + 23 i, x = - 2 - 23 i

Solution steps

lo g_{2} (256) = \frac{x ^{3}}{8}

Switch sides

\frac{x ^{3}}{8} = lo g_{2} (256)

Multiply both sides by

8

x^{3} = 64

For

x^{3} = f (a)

the solutions are

Simplify

x = 4, x = - 2 + 23 i, x = - 2 - 23 i

4 x^{4} - 10 x^{3} - 1 x^{2} = 0

3 x^{4} - 8 x^{3} - 16 x^{2} + 24 x + 32 = 0

6 x^{3} - 7 x^{2} - 6 x = - 7

z^{3} - 4 z^{2} + 9 z - 10 = 0

(9 + x^{2}) \cdot x = 3

What are the solutions to the equation log_{2}(256)=(x^3)/8 ?
The solutions to the equation log_{2}(256)=(x^3)/8 are x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i
Find the zeros of log_{2}(256)=(x^3)/8
The zeros of log_{2}(256)=(x^3)/8 are x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i