Question 52

The difference between the logarithms of sum of the squares of two positive numbers A and B and the sum of logarithms of the individual numbers is a constant C. If A = B, then C is

Solution

Framing equation for given data:
$$\log\ \left(a^2+b^2\right)-\left(\log\ a+\log\ b\right)=C$$

Opening brackets and substituting a = b, we get
C = log 2

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