COMEDK · Maths · 1. Basic of Mathematics
The value of \(3^{\log _4 5}-5^{\log _4 3}\) is
- A 0
- B 1
- C 2
- D 4
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Let \(x = 3^{\log_{4} 5} - 5^{\log_{4} 3}\). Using the property of logarithms \(a^{\log_{b} c} = c^{\log_{b} a}\), we compare the two terms. The first term is \(3^{\log_{4} 5}\). The second term is \(5^{\log_{4} 3}\). Applying the property \(a^{\log_{b} c} = c^{\log_{b} a}\) to…
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