] ‌=2a2(ln‌3)‌ln(2) Since, given function is continuous So,
lim
x⟶0
f(x)=f(0) ‌⇒‌‌2a2(ln‌3)(ln‌2)=(ln‌3)(ln‌4) ‌⇒‌‌(ln‌3)(ln‌2)2=2(ln‌3)(ln‌2) ‌⇒‌‌2a2=2⇒a2=1 ⇒‌‌a=1‌‌(∵a is a positive real number )