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Find the value of x in the equation log^3x = 4.

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Final answer:

To find the value of x in the equation log³x = 4, isolate x by converting the equation to exponential form. x equals the cube root of 10 raised to the power of 4, which is approximately 46.42.

Step-by-step explanation:

To find the value of x in the equation log³x = 4, we need to isolate x. In exponential form, the equation can be written as x = 10^4/3. This means x is equal to the cube root of 10 raised to the power of 4, which is approximately equal to 46.42.

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