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College Algebra / Unit 8   Alg 447 short lesson, about 20 seconds

The Split-Sum Log Error

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The idea

The split-sum log error distributes a log over addition; logs convert products to sums, and log_b(M + N) is not log_b(M) + log_b(N).

In practice

log₂(4 + 4) = log₂(8) = 3, while log₂(4) + log₂(4) = 2 + 2 = 4. The split missed by one.

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