Logaritmi

1. log_{a}(x_{1} · x_{2}) = log_{a} x_{1} + log_{a} x_{2} (a > 0, a ≠ 1, x_{1} > 0, x_{2} > 0).

2. log_{a} \frac{x_{1}}{x_{2}} = log_{a} x_{1} − log_{a} x_{2} (a > 0, a ≠ 1, x_{1} > 0, x_{2} > 0).

3. log_{a}(x^{α}) = α log_{a} x (a > 0, a ≠ 1, x > 0, α ∈ R).

4. log_{a} x = \frac{log_{b} x}{log_{b} a} (a > 0, a ≠ 1, b > 0).

5. log_{a} b = \frac{1}{log_{b} a} (a > 0, a ≠ 1, b > 0, b ≠ 1).

6. log_{a^{α}} x = \frac{1}{α} log_{a} x (a > 0, a ≠ 1, x > 0, α ≠ 0).

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