Question:medium
If
\[
\sum_{k=1}^{n}\log_{10}(5^k)=66\log_{10}(5),
\]
then the value of \(n\) is equal to:
If
\[
\sum_{k=1}^{n}\log_{10}(5^k)=66\log_{10}(5),
\]
then the value of \(n\) is equal to:
Show Hint
To solve \(n(n+1) = 132\) quickly, note that \(\sqrt{132} \approx 11.5\). The integer value of \(n\) will be the floor of this square root.
Updated On: Jun 25, 2026
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Show Solution
The Correct Option is D
Solution and Explanation
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