Question: Solve: $\sqrt[4]{2x -1} - 2 = 1$
Solution:
Given,
$\sqrt[4]{2x -1} - 2 = 1$
$or, \sqrt[4]{2x -1} = 1 +2$
$or, \sqrt[4]{2x -1} = 3$
[ Raise both sides to the power of 4 ]
$or, (\sqrt[4]{2x -1}}^4 = 3^4$
$or, 2x -1 = 81$
$or, 2x = 81 +1$
$or, x = \dfrac{82}{2}$
$\therefore x = 41$
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