a^4+b^4=14a^2b^2 then log (a^2+b^2)=log a+ log b+ 2 log2
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a^4+b^4=14a^2b^2
(a^2+b^2)^2-2a^2b^2=14a^2b^2
a^2+b^2=4ab
log(a^2+b^2)=log4ab
log(a^2+b^2)=loga+logb+log4
log(a^2+b^2)=loga+logb+2log2
(a^2+b^2)^2-2a^2b^2=14a^2b^2
a^2+b^2=4ab
log(a^2+b^2)=log4ab
log(a^2+b^2)=loga+logb+log4
log(a^2+b^2)=loga+logb+2log2
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Answer:
For the given equation, add 2a²b² to both sides. Now the left hand side becomes a perfect square. Factor it into (a²+b²)², then take the logarithm of both sides and simplify.
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