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How do you solve #3x^(1/4)=4#?

Answer 1

Abigail Allen

#x=256/81#

Always remember the rule #a^m/n=root(n)(a^m)#

So #3x^(1/4)##=root(4)(4^1)=root(4)4#

Then solve for both sides #{3x^(1/4)}={root(4)4}^4#

#81x=256#

#x=256/81#

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Answer 2

Nathan Axel

To solve the equation 3x^(1/4) = 4, you can start by isolating the variable x. First, divide both sides of the equation by 3 to get x^(1/4) = 4/3. To eliminate the exponent, raise both sides of the equation to the power of 4, resulting in (x^(1/4))^4 = (4/3)^4. Simplifying further, x = (4/3)^4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.