anonymous
  • anonymous
Can some one walk me through this equation: 8= (x-3)^3/4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Step 1: Exponentiate both sides of the equation to the power of 4. This will get rid of the 1/4 power. Step 2: Root both sides to the power of 3. This will get rid of the cube power. Step 3: Add 3 to both sides. This will get simply the variable side. Step 4: By now, you should have your x-value which I assume is what you needed.
anonymous
  • anonymous
Okay give me a sec.
anonymous
  • anonymous
not to butt in, but i would take the cubed root first, before i raised to the power of 4 the numbers are much easier that way

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anonymous
  • anonymous
\[8=(x-3)^{\frac{3}{4}}\iff 8^{\frac{4}{3}}=x-3\]
anonymous
  • anonymous
So I would get x= 5^3/4 right @satellite73
anonymous
  • anonymous
@Cardinal_Carlo Doing it your way I got \[x=-5\pm8i \sqrt{3}\] Was that right?
anonymous
  • anonymous
Not quite. My approach was more of a step-by-step breakdown of Satellite's approach. You should've gotten what he got.
anonymous
  • anonymous
\[8^{\frac{ 4 }{ 3 }} + 3 = x\] See?
anonymous
  • anonymous
Yeah but there is a bit of a problem and that is that none of the given answers matches that answer. @Cardinal_Carlo
anonymous
  • anonymous
If that's the case, from now on, please provide an answer list as you post your question. It makes it easier for all of us.
anonymous
  • anonymous
Oh okay, sorry for that. @Cardinal_Carlo The answers that they provided me are. 16 19 13 11
anonymous
  • anonymous
\[8^{\frac{ 4 }{ 3 }} + 3 = ~?\] The answer is actually one of the choices you put up.
anonymous
  • anonymous
Hint: Simplify the expression.

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