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Log laws and change of base
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Learn it log(xy) = log x + log y; log(x/y) = log x − log y; log(xⁿ) = n log x. Change of base: log_b x = log x ÷ log b, so any log can be found with a calculator.
Example: Evaluate log₄ 50 to two decimal places.
- log₄ 50 = log 50 ÷ log 4.
- ≈ 1.699 ÷ 0.602 ≈ 2.82.
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