Question

solve (sqrt5{5x - 3} = 2) and choose the correct value. (1 point)
(x = \frac{3}{5})
(x = -\frac{29}{5})
(x = \frac{4}{5})
(x = 7)

Explanation:

Step1: Eliminate 5th root

Raise both sides to the 5th power:
$$(\sqrt[5]{5x-3})^5 = 2^5$$
$$5x - 3 = 32$$

Step2: Isolate the term with x

Add 3 to both sides:
$$5x = 32 + 3$$
$$5x = 35$$

Step3: Solve for x

Divide both sides by 5:
$$x = \frac{35}{5}$$
$$x = 7$$

Answer:

$x = 7$