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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 540RE (page 854)

In the following exercises, solve $\sqrt[3]{4 x - 1} = 3$

Short Answer

Expert verified

Solution is $x = 7$

Step by step solution

01

Given information

Solve $\sqrt[3]{4 x - 1} = 3$

02

Solution

We have

$\sqrt[3]{4 x - 1} = 3 4 x - 1 = 3^{3} 4 x - 1 = 27 4 x = 28 x = \frac{28}{4} x = 7$

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Most popular questions from this chapter

In the following exercises, solve.
$\sqrt[3]{4 x - 1} = 3$

Explain what is meant by the $n^{t h}$ root of a number.

In the following exercises, use the Product Property to simplify radical expression $\sqrt{80} .$

In the following exercise, write as a radical expression.

ⓐ x^{\frac{1}{2}} ⓑ y^{\frac{1}{3}} ⓒ z^{\frac{1}{4}}

In the following exercises, write as a radical expression.

$ⓐ u^{\frac{1}{5}} ⓑ v^{\frac{1}{9}} ⓒ w^{\frac{1}{20}}$

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