We are given f = 5.0 cm and v = 30 cm. Plugging these values into the formula, we get:
$\frac{1}{5.0} = \frac{1}{u} + \frac{1}{30}$
Now, we can solve for u:
$\frac{1}{u} = \frac{1}{5.0} - \frac{1}{30} = \frac{5}{30} = \frac{1}{6}$
$u = 6 \mathrm{cm}$
So, the
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