Topics in Properties of Real Logarithms

Numbered in the order to learn them.

  1. Adding Logs (Same Base): log_B(UV) = log_B(U)+log_B(V)

  2. Telescoping Logs, or Change of Base

  3. Logarithm Inequalities: Varying the Input: log_A(U) vs. log_A(V)

  4. Logarithm Inequalities: Varying the Base: log_A(U) vs. log_B(U)

  5. Logarithm log_A(Y)>0 (A≠1), Hits All Reals Exactly Once, in Order

  6. What's the Point of Logs?

  7. Scaling Logs: U log_A(V) = log_A(V^U)

Type a concept, like “slope” or “photosynthesis”.

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