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ufunc Logs

NumPy provides logarithmic ufuncs to compute natural logs, base-10 logs, and more. These functions are essential for mathematical modeling, data transformations, and machine learning tasks.

Key Topics

Logarithmic Methods

NumPy's logarithmic ufuncs include:

  • log: Computes the natural logarithm (base-e).
  • log10: Computes the base-10 logarithm.
  • log2: Computes the base-2 logarithm.

Example

# Logarithmic ufuncs
import numpy as np

arr = np.array([1, 10, 100, 1000])

natural_log = np.log(arr)
log_base10 = np.log10(arr)
log_base2 = np.log2(arr)

print("Natural log:", natural_log)
print("Base-10 log:", log_base10)
print("Base-2 log:", log_base2)

Output

Natural log: [0. 2.302 4.605 6.908]
Base-10 log: [0. 1. 2. 3.]
Base-2 log: [0. 3.321 6.644 9.966]

Explanation: Each ufunc computes logarithms for the array elements with the specified base, transforming data into a logarithmic scale.

Key Takeaways

  • Natural Log: Use log for base-e logarithms.
  • Base-10 Log: Use log10 for logarithms in base-10.
  • Base-2 Log: Use log2 for binary logarithms.
  • Applications: Analyze exponential growth, compress data ranges, or solve power-law relationships.
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