Question

please solve this question

Answer 1

Heya

∆ Using Discriminant property :

${4}^{2} - 4( - log_{2}(a) ) \geqslant 0$

Solving the Inequality :
$4 + log_{2}(a) \geqslant 0$

$log_{2}(16) + log_{2}(a) \geqslant 0$

$= > log_{2}(16a) \geqslant 0$

$= > 16a \geqslant 1$

$= > a \geqslant \frac{1}{16}$

And hence, the correct option is ( C )