Question

if a4+b4=14a2+b2, then let us show that log a2+b2=log a +log b +2log 2​

Answer 1

Step-by-step explanation:

Given a

2

+b

2

=14a

2

b

2

or, (a+b)

2

=16a

2

b

2

Now taking logarithm both sides with respect to the base e we get,

2log(a+b)=log16+loga

2

+logb

2

or, 2log(a+b)=4log2+2loga+2logb

or, log(a+b)=2log2+loga+logb>