Algebra 2

Algebra Level 1

Solve for $x:$

$(x-1)^{^{\frac{1}{3}}}=5.$

2 solutions

Dominick Hing
Sep 28, 2014

Raise both sides to the third power.

${ ({ (x-1) }^{ \frac { 1 }{ 3 } } })^{ 3 }={ (5) }^{ 3 }$

Thus $x-1=125$ and $x = 126$

Why to the power of third?

Mia Kaplan - 2 years, 4 months ago

Oon Han
Dec 9, 2018

Solving the equation gives: $\begin{aligned} {(x-1)}^{\frac{1}{3}} &= 5 \\ x - 1 &= 5^3 \\ &= 125 \\ x &= \boxed{126} \end{aligned}$

Therefore, the answer is 126 .