Algebra Examples

$\log_{b} (\frac{6}{7})$

Step 1

Rewrite $\log_{b} (\frac{6}{7})$ as $\log_{b} (6) - \log_{b} (7)$ .

$\log_{b} (6) - \log_{b} (7)$

Step 2

Simplify each term.

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Step 2.1

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

$\log_{b} (2 (3)) - \log_{b} (7)$

Step 2.2

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

$\log_{b} (2) + \log_{b} (3) - \log_{b} (7)$