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College Algebra / Unit 8   Alg 451 short lesson, about 20 seconds

The Divided-Logs Error

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The idea

The divided-logs error reads log_b(M)/log_b(N) as log_b(M/N); a quotient of logs is not the log of a quotient.

In practice

log₂(32)/log₂(4) = 5/2 = 2.5, while log₂(32/4) = 3. Different animals — and the first one has an honest name waiting.

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