Precalculus Examples

$\log_{19} (\frac{6}{17})$

Step 1

Rewrite $\log_{19} (\frac{6}{17})$ as $\log_{19} (6) - \log_{19} (17)$ .

$\log_{19} (6) - \log_{19} (17)$

Step 2

Simplify each term.

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Step 2.1

Rewrite $\log_{19} (6)$ as $\log_{19} (2 (3))$ .

$\log_{19} (2 (3)) - \log_{19} (17)$

Step 2.2

Rewrite $\log_{19} (2 (3))$ as $\log_{19} (2) + \log_{19} (3)$ .

$\log_{19} (2) + \log_{19} (3) - \log_{19} (17)$