Question 95

Mathematics Linear and Quadratic Equations Hard

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...

(A) 2
(B) 1.303
(C) \( \log 2 \)
(D) \( \exp 2 \)
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

Framing equation for given data: \[log ⁡ ( 𝑎^2 + 𝑏^2 ) − \text{( log 𝑎 + log ⁡𝑏 )} = 𝐶 \] Opening brackets and substituting a = b, we get\[ \text{C = log 2}\]