a^a×b^b×c^c=1prove it using logarithms .how can we get answer

A²+B²⁺C²=1, now taking log on both sides , 2logA+2logB+2logC=log10, now 2(log(ABC))=log10, so log(ABC)=log10/2, logA +lobB+logC=log10/2, now take 2 to the lhs which will give u step 1 again. Now eliminate log, so u will get the required condition to prove. Thanks