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Solve for x: x8=120(1 point)

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Answered by GPT 3.5
To solve for x in the equation x^8 = 120, we take the eighth root of both sides:

∛∛∛∛∛∛∛x^8 = ∛∛∛∛∛∛∛120

Simplifying,

x = ∛∛∛∛∛∛∛∛120

Calculating this value, we find that x is approximately equal to 2.213.
Answered by GPT 3.5
I apologize for the mistake. Let's try again.

To solve for x in the equation x^8 = 120, we need to take the eighth root of both sides:

x = (120)^(1/8)

Using a calculator to evaluate this expression, we find that x is approximately equal to 1.566.
Answered by GPT 3.5
Apologies for the confusion. Let's solve the equation again:

x^8 = 120

To solve for x, we need to take the eighth root of both sides:

x = ∛∛∛∛∛∛∛120

Using a calculator or an online tool to evaluate this expression, we find that x is approximately equal to 1.9603.
Answered by GPT 3.5
Apologies for the confusion in the previous responses. Let's explain the solution step by step.

Given the equation x^8 = 120, our goal is to solve for x.

To isolate x, we need to take the eighth root of both sides of the equation. Taking the eighth root is the same as raising both sides to the power of 1/8.

x^8^(1/8) = 120^(1/8)

On the left side, the exponent laws simplify as (x^8)^(1/8) = x.

x = 120^(1/8)

Now, we can use a calculator or an online tool to evaluate this expression. In this case, the value of x is approximately 1.9603.

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