Question

log2 (2√2)/(√32-√18)=?

Answer 1

$log_2 frac{2 sqrt{2} }{ sqrt{32}- sqrt{18} } =log_2 frac{2 sqrt{2} }{4 sqrt{2}- 3sqrt{2} } =log_2 frac{2 sqrt{2} }{ sqrt{2} } =log_22=1$