Hi.
Which books should I refer to for logarithm in advance level of high school. I want to prepare for math olympiad, but books of school are too easy. Thanks. Sorry for bad English.
There is also a trick called "logarithmic transformation". Sometimes evaluating / analyzing a sum is easier than evaluating / analyzing a product. So instead on focusing on P = X1 * X2 * ... * Xp, one
1) writes the formula for S = log(P) = log(X1) + log(X2) + ... + log(Xp),
2) studies its properties,
3) translates these properties back into P = exp{S}.
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