Input the base and antilogarithm to quickly calculate the square of the logarithm.
Log squared refers to the square of a logarithmic value. If the base \( b \) and the antilogarithm \( N \) are known, the logarithm \( \log_b(N) \) is first calculated, and its square is then computed as: \((\log_b(N))^2\) This calculation is widely used in fields like signal processing, power scaling, and logarithmic scale transformations, where numerical precision is crucial.
Solution:
1. Compute the logarithm:
\( \log_2(32) = 5 \)
2. Square the logarithm:
\( 5^2 = 25 \)
Result: The log squared value is 25.
Solution:
1. Compute the logarithm:
\( \log_5(125) = 3 \)
2. Square the logarithm:
\( 3^2 = 9 \)
Result: The log squared value is 9.