COMEDK · Maths · 1. Basic of Mathematics
\(8^{3 \log _{8} 5}\) is equal to
- A \(\log _{8} 25\)
- B 120
- C 125
- D \(\log _{8} 15\)
Answer & Solution
Correct Answer
(C) 125
Step-by-step Solution
Detailed explanation
Using the logarithmic property \(a^{\log_{a} b} = b\), we rewrite the expression \(8^{3 \log_{8} 5}\). Applying the power rule for logarithms, \(n \log_{a} b = \log_{a} (b^n)\), we get: \(3 \log_{8} 5 = \log_{8} (5^3)\) Substituting this back into the expression:…
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